76621186968480 has 1152 divisors, whose sum is σ = 335094511804416. Its totient is φ = 15477300633600.

The previous prime is 76621186968439. The next prime is 76621186968509. The reversal of 76621186968480 is 8486968112667.

76621186968480 is a `hidden beast` number, since 7 + 6 + 6 + 2 + 1 + 1 + 86 + 9 + 68 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 76621186968399 and 76621186968408.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5017423245 + ... + 5017438515.

It is an arithmetic number, because the mean of its divisors is an integer number (290880652608).

Almost surely, 2^{76621186968480} is an apocalyptic number.

76621186968480 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 76621186968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167547255902208).

76621186968480 is an abundant number, since it is smaller than the sum of its proper divisors (258473324835936).

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

76621186968480 is a wasteful number, since it uses less digits than its factorization.

76621186968480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16570 (or 16559 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 76621186968480 in words is "seventy-six trillion, six hundred twenty-one billion, one hundred eighty-six million, nine hundred sixty-eight thousand, four hundred eighty".