76620462478560 has 1152 divisors, whose sum is σ = 356006025123840. Its totient is φ = 14489421004800.

The previous prime is 76620462478541. The next prime is 76620462478583. The reversal of 76620462478560 is 6587426402667.

76620462478560 is a `hidden beast` number, since 7 + 6 + 6 + 2 + 0 + 4 + 62 + 4 + 7 + 8 + 560 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101967906 + ... + 102716574.

It is an arithmetic number, because the mean of its divisors is an integer number (309033007920).

Almost surely, 2^{76620462478560} is an apocalyptic number.

76620462478560 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 76620462478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178003012561920).

76620462478560 is an abundant number, since it is smaller than the sum of its proper divisors (279385562645280).

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

76620462478560 is a wasteful number, since it uses less digits than its factorization.

76620462478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748792 (or 748781 counting only the distinct ones).

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

The spelling of 76620462478560 in words is "seventy-six trillion, six hundred twenty billion, four hundred sixty-two million, four hundred seventy-eight thousand, five hundred sixty".