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6676512480 = 253551167233
BaseRepresentation
bin1100011011111001…
…10111111011100000
3122020022000222100000
412031330313323200
5102133141344410
63022300500000
7324310263651
oct61574677340
918208028300
106676512480
112916798710
121363b4a600
138252a3501
144749d1528
1529121adc0
hex18df37ee0

6676512480 has 576 divisors, whose sum is σ = 26272366848. Its totient is φ = 1587548160.

The previous prime is 6676512463. The next prime is 6676512499. The reversal of 6676512480 is 842156766.

6676512480 is a `hidden beast` number, since 66 + 76 + 512 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28654444 + ... + 28654676.

It is an arithmetic number, because the mean of its divisors is an integer number (45611748).

Almost surely, 26676512480 is an apocalyptic number.

6676512480 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 6676512480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13136183424).

6676512480 is an abundant number, since it is smaller than the sum of its proper divisors (19595854368).

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

6676512480 is a wasteful number, since it uses less digits than its factorization.

6676512480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6676512480 is about 81709.9288948412. The cubic root of 6676512480 is about 1882.9981285236.

The spelling of 6676512480 in words is "six billion, six hundred seventy-six million, five hundred twelve thousand, four hundred eighty".