76461283039680 has 6048 divisors, whose sum is σ = 377874447175680. Its totient is φ = 14366763417600.

The previous prime is 76461283039579. The next prime is 76461283039751. The reversal of 76461283039680 is 8693038216467.

76461283039680 is a `hidden beast` number, since 7 + 6 + 4 + 612 + 8 + 3 + 0 + 3 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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 863 ways as a sum of consecutive naturals, for example, 1047414836124 + ... + 1047414836196.

Almost surely, 2^{76461283039680} is an apocalyptic number.

76461283039680 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 76461283039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188937223587840).

76461283039680 is an abundant number, since it is smaller than the sum of its proper divisors (301413164136000).

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

76461283039680 is a wasteful number, since it uses less digits than its factorization.

76461283039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 76461283039680 in words is "seventy-six trillion, four hundred sixty-one billion, two hundred eighty-three million, thirty-nine thousand, six hundred eighty".