76338096255200 has 576 divisors, whose sum is σ = 205192742698944. Its totient is φ = 27563827200000.

The previous prime is 76338096255143. The next prime is 76338096255217. The reversal of 76338096255200 is 255269083367.

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, 32061358010 + ... + 32061360390.

It is an arithmetic number, because the mean of its divisors is an integer number (356237400519).

Almost surely, 2^{76338096255200} 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 76338096255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102596371349472).

76338096255200 is an abundant number, since it is smaller than the sum of its proper divisors (128854646443744).

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

76338096255200 is a wasteful number, since it uses less digits than its factorization.

76338096255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 56.

The spelling of 76338096255200 in words is "seventy-six trillion, three hundred thirty-eight billion, ninety-six million, two hundred fifty-five thousand, two hundred".