16407560464 has 45 divisors (see below), whose sum is σ = 32880030309. Its totient is φ = 7931456640.

The previous prime is 16407560459. The next prime is 16407560483. The reversal of 16407560464 is 46406570461.

The square root of 16407560464 is 128092.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15840739600 + 566820864 = 125860^2 + 23808^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16407560464.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15882892 + ... + 15883924.

Almost surely, 2^16407560464 is an apocalyptic number.

16407560464 is the 128092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16407560464

16407560464 is an abundant number, since it is smaller than the sum of its proper divisors (16472469845).

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

16407560464 is an frugal number, since it uses more digits than its factorization.

16407560464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 16407560464 in words is "sixteen billion, four hundred seven million, five hundred sixty thousand, four hundred sixty-four".