76741464683520 has 5632 divisors, whose sum is σ = 365465157120000. Its totient is φ = 15338307059712.

The previous prime is 76741464683497. The next prime is 76741464683581. The reversal of 76741464683520 is 2538646414767.

76741464683520 is a `hidden beast` number, since 7 + 6 + 7 + 4 + 1 + 46 + 4 + 68 + 3 + 520 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1447952163814 + ... + 1447952163866.

Almost surely, 2^{76741464683520} is an apocalyptic number.

76741464683520 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 76741464683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182732578560000).

76741464683520 is an abundant number, since it is smaller than the sum of its proper divisors (288723692436480).

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

76741464683520 is an equidigital number, since it uses as much as digits as its factorization.

76741464683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 76741464683520 in words is "seventy-six trillion, seven hundred forty-one billion, four hundred sixty-four million, six hundred eighty-three thousand, five hundred twenty".