76238311968000 has 6480 divisors, whose sum is σ = 374833427544576. Its totient is φ = 15058715443200.

The previous prime is 76238311967957. The next prime is 76238311968011. The reversal of 76238311968000 is 86911383267.

76238311968000 is a `hidden beast` number, since 7 + 6 + 238 + 311 + 96 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1622091743977 + ... + 1622091744023.

Almost surely, 2^{76238311968000} is an apocalyptic number.

76238311968000 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 76238311968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187416713772288).

76238311968000 is an abundant number, since it is smaller than the sum of its proper divisors (298595115576576).

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

76238311968000 is a wasteful number, since it uses less digits than its factorization.

76238311968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 76238311968000 in words is "seventy-six trillion, two hundred thirty-eight billion, three hundred eleven million, nine hundred sixty-eight thousand".