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6342640000 = 275479283
BaseRepresentation
bin1011110100000110…
…10000000110000000
3121101000210111101121
411322003100012000
5100442203440000
62525212442024
7313114356544
oct57203200600
917330714347
106342640000
112765289344
121290179314
137a1075c28
14442521a24
15271c6ab1a
hex17a0d0180

6342640000 has 80 divisors (see below), whose sum is σ = 15789805020. Its totient is φ = 2537024000.

The previous prime is 6342639929. The next prime is 6342640013. The reversal of 6342640000 is 462436.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40359 + ... + 119641.

Almost surely, 26342640000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6342640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894902510).

6342640000 is an abundant number, since it is smaller than the sum of its proper divisors (9447165020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6342640000 is an frugal number, since it uses more digits than its factorization.

6342640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79317 (or 79290 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 6342640000 is about 79640.6931160195. The cubic root of 6342640000 is about 1851.0721810219.

The spelling of 6342640000 in words is "six billion, three hundred forty-two million, six hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 79283 80000 158566 317132 396415 634264 792830 1268528 1585660 1982075 2537056 3171320 3964150 5074112 6342640 7928300 9910375 10148224 12685280 15856600 19820750 25370560 31713200 39641500 49551875 50741120 63426400 79283000 99103750 126852800 158566000 198207500 253705600 317132000 396415000 634264000 792830000 1268528000 1585660000 3171320000 6342640000