76631940950400 has 768 divisors, whose sum is σ = 314216206732800. Its totient is φ = 18075338956800.

The previous prime is 76631940950371. The next prime is 76631940950429. The reversal of 76631940950400 is 405904913667.

76631940950400 is a `hidden beast` number, since 7 + 6 + 63 + 1 + 94 + 0 + 95 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (76631940950371) and next prime (76631940950429).

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 95 ways as a sum of consecutive naturals, for example, 34075189 + ... + 36254411.

It is an arithmetic number, because the mean of its divisors is an integer number (409135685850).

Almost surely, 2^{76631940950400} 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 76631940950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157108103366400).

76631940950400 is an abundant number, since it is smaller than the sum of its proper divisors (237584265782400).

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

76631940950400 is a wasteful number, since it uses less digits than its factorization.

76631940950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179304 (or 2179281 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 76631940950400 in words is "seventy-six trillion, six hundred thirty-one billion, nine hundred forty million, nine hundred fifty thousand, four hundred".