5610261664 has 192 divisors, whose sum is σ = 13814841600. Its totient is φ = 2233835520.

The previous prime is 5610261623. The next prime is 5610261697. The reversal of 5610261664 is 4661620165.

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, 19965204 + ... + 19965484.

It is an arithmetic number, because the mean of its divisors is an integer number (71952300).

Almost surely, 2^5610261664 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 5610261664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6907420800).

5610261664 is an abundant number, since it is smaller than the sum of its proper divisors (8204579936).

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

5610261664 is a wasteful number, since it uses less digits than its factorization.

5610261664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 5610261664 is about 74901.6799811593. The cubic root of 5610261664 is about 1776.8920288234.

The spelling of 5610261664 in words is "five billion, six hundred ten million, two hundred sixty-one thousand, six hundred sixty-four".