76861534740480 has 1344 divisors, whose sum is σ = 327708067984128. Its totient is φ = 16263287930880.

The previous prime is 76861534740479. The next prime is 76861534740499. The reversal of 76861534740480 is 8404743516867.

76861534740480 is a `hidden beast` number, since 7 + 6 + 8 + 6 + 153 + 474 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

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, 2675943399 + ... + 2675972121.

Almost surely, 2^{76861534740480} is an apocalyptic number.

76861534740480 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 76861534740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163854033992064).

76861534740480 is an abundant number, since it is smaller than the sum of its proper divisors (250846533243648).

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

76861534740480 is a wasteful number, since it uses less digits than its factorization.

76861534740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28845 (or 28818 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 76861534740480 in words is "seventy-six trillion, eight hundred sixty-one billion, five hundred thirty-four million, seven hundred forty thousand, four hundred eighty".