16790566464 has 280 divisors, whose sum is σ = 57612727040. Its totient is φ = 4735770624.

The previous prime is 16790566393. The next prime is 16790566483. The reversal of 16790566464 is 46466509761.

16790566464 is a `hidden beast` number, since 1 + 6 + 79 + 0 + 566 + 4 + 6 + 4 = 666.

16790566464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 16790566464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2863824 + ... + 2869680.

Almost surely, 2^16790566464 is an apocalyptic number.

16790566464 is a gapful number since it is divisible by the number (14) 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 16790566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28806363520).

16790566464 is an abundant number, since it is smaller than the sum of its proper divisors (40822160576).

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

16790566464 is an equidigital number, since it uses as much as digits as its factorization.

16790566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5967 (or 5948 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 16790566464 in words is "sixteen billion, seven hundred ninety million, five hundred sixty-six thousand, four hundred sixty-four".