76214368991904 has 768 divisors, whose sum is σ = 249981890618880. Its totient is φ = 20005862768640.

The previous prime is 76214368991869. The next prime is 76214368991923. The reversal of 76214368991904 is 40919986341267.

76214368991904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17573059624 + ... + 17573063960.

It is an arithmetic number, because the mean of its divisors is an integer number (325497253410).

Almost surely, 2^{76214368991904} is an apocalyptic number.

76214368991904 is a gapful number since it is divisible by the number (74) 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 76214368991904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124990945309440).

76214368991904 is an abundant number, since it is smaller than the sum of its proper divisors (173767521626976).

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

76214368991904 is a wasteful number, since it uses less digits than its factorization.

76214368991904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5633 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 69.

The spelling of 76214368991904 in words is "seventy-six trillion, two hundred fourteen billion, three hundred sixty-eight million, nine hundred ninety-one thousand, nine hundred four".