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6670291680 = 25365135383
BaseRepresentation
bin1100011011001010…
…01001001011100000
3122012212022221000000
412031211021023200
5102130043313210
63021515300000
7324203354343
oct61545111340
918185287000
106670291680
112913229958
121361a4a600
13823c05b70
14473c5245a
152908dcac0
hex18d9492e0

6670291680 has 672 divisors, whose sum is σ = 26236931616. Its totient is φ = 1591529472.

The previous prime is 6670291679. The next prime is 6670291687. The reversal of 6670291680 is 861920766.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6670291687) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 80364919 + ... + 80365001.

It is an arithmetic number, because the mean of its divisors is an integer number (39043053).

Almost surely, 26670291680 is an apocalyptic number.

6670291680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6670291680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13118465808).

6670291680 is an abundant number, since it is smaller than the sum of its proper divisors (19566639936).

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

6670291680 is a wasteful number, since it uses less digits than its factorization.

6670291680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6670291680 is about 81671.8536584055. The cubic root of 6670291680 is about 1882.4131227664.

The spelling of 6670291680 in words is "six billion, six hundred seventy million, two hundred ninety-one thousand, six hundred eighty".