76556321408 has 256 divisors, whose sum is σ = 193687718400. Its totient is φ = 29383065600.

The previous prime is 76556321377. The next prime is 76556321423. The reversal of 76556321408 is 80412365567.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31361468 + ... + 31363908.

It is an arithmetic number, because the mean of its divisors is an integer number (756592650).

Almost surely, 2^76556321408 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 76556321408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96843859200).

76556321408 is an abundant number, since it is smaller than the sum of its proper divisors (117131396992).

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

76556321408 is a wasteful number, since it uses less digits than its factorization.

76556321408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 76556321408 in words is "seventy-six billion, five hundred fifty-six million, three hundred twenty-one thousand, four hundred eight".