76971997440 has 1152 divisors, whose sum is σ = 316470067200. Its totient is φ = 17557585920.

The previous prime is 76971997397. The next prime is 76971997451. The reversal of 76971997440 is 4479917967.

76971997440 is a `hidden beast` number, since 7 + 6 + 97 + 19 + 97 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 606078657 + ... + 606078783.

It is an arithmetic number, because the mean of its divisors is an integer number (274713600).

Almost surely, 2^76971997440 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 76971997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158235033600).

76971997440 is an abundant number, since it is smaller than the sum of its proper divisors (239498069760).

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

76971997440 is a wasteful number, since it uses less digits than its factorization.

76971997440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 76971997440 in words is "seventy-six billion, nine hundred seventy-one million, nine hundred ninety-seven thousand, four hundred forty".