76426390560 has 192 divisors, whose sum is σ = 265292108928. Its totient is φ = 18375081984.

The previous prime is 76426390541. The next prime is 76426390643. The reversal of 76426390560 is 6509362467.

It is a super-2 number, since 2×76426390560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125904 + ... + 410736.

It is an arithmetic number, because the mean of its divisors is an integer number (1381729734).

Almost surely, 2^76426390560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76426390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132646054464).

76426390560 is an abundant number, since it is smaller than the sum of its proper divisors (188865718368).

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

76426390560 is a wasteful number, since it uses less digits than its factorization.

76426390560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284907 (or 284899 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 76426390560 in words is "seventy-six billion, four hundred twenty-six million, three hundred ninety thousand, five hundred sixty".