76338607968000 has 2592 divisors, whose sum is σ = 342841692735360. Its totient is φ = 15956036812800.

The previous prime is 76338607967977. The next prime is 76338607968011. The reversal of 76338607968000 is 86970683367.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21105502192 + ... + 21105505808.

It is an arithmetic number, because the mean of its divisors is an integer number (132269171580).

Almost surely, 2^{76338607968000} is an apocalyptic number.

76338607968000 is a gapful number since it is divisible by the number (70) 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 76338607968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171420846367680).

76338607968000 is an abundant number, since it is smaller than the sum of its proper divisors (266503084767360).

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

76338607968000 is a wasteful number, since it uses less digits than its factorization.

76338607968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 76338607968000 in words is "seventy-six trillion, three hundred thirty-eight billion, six hundred seven million, nine hundred sixty-eight thousand".