76038319104 has 352 divisors, whose sum is σ = 226452568320. Its totient is φ = 22491955200.

The previous prime is 76038319103. The next prime is 76038319169. The reversal of 76038319104 is 40191383067.

It is a tau number, because it is divible by the number of its divisors (352).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (76038319103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393980832 + ... + 393981024.

It is an arithmetic number, because the mean of its divisors is an integer number (643331160).

Almost surely, 2^76038319104 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 76038319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113226284160).

76038319104 is an abundant number, since it is smaller than the sum of its proper divisors (150414249216).

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

76038319104 is a wasteful number, since it uses less digits than its factorization.

76038319104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 76038319104 in words is "seventy-six billion, thirty-eight million, three hundred nineteen thousand, one hundred four".