5644516900 has 81 divisors (see below), whose sum is σ = 13483079953. Its totient is φ = 2049546400.

The previous prime is 5644516897. The next prime is 5644516939. The reversal of 5644516900 is 96154465.

It is a happy number.

The square root of 5644516900 is 75130.

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., 2032026084 + 3612490816 = 45078^2 + 60104^2 .

It is a super-2 number, since 2×5644516900² = 63721142068771220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8263959 + ... + 8264641.

Almost surely, 2^5644516900 is an apocalyptic number.

5644516900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5644516900 is the 75130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5644516900

5644516900 is an abundant number, since it is smaller than the sum of its proper divisors (7838563053).

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

5644516900 is a wasteful number, since it uses less digits than its factorization.

5644516900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The cubic root of 5644516900 is about 1780.5011529174.

Multiplying 5644516900 by its product of nonzero digits (129600), we get a square (731529390240000 = 27046800²).

The spelling of 5644516900 in words is "five billion, six hundred forty-four million, five hundred sixteen thousand, nine hundred".