76557926016 has 384 divisors, whose sum is σ = 260638560000. Its totient is φ = 21264261120.

The previous prime is 76557925981. The next prime is 76557926023. The reversal of 76557926016 is 61062975567.

76557926016 is a `hidden beast` number, since 7 + 6 + 5 + 579 + 2 + 60 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×76557926016² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24544105 + ... + 24547223.

It is an arithmetic number, because the mean of its divisors is an integer number (678746250).

Almost surely, 2^76557926016 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 76557926016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130319280000).

76557926016 is an abundant number, since it is smaller than the sum of its proper divisors (184080633984).

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

76557926016 is a wasteful number, since it uses less digits than its factorization.

76557926016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 76557926016 in words is "seventy-six billion, five hundred fifty-seven million, nine hundred twenty-six thousand, sixteen".