5640736400 has 60 divisors (see below), whose sum is σ = 14594334132. Its totient is φ = 2082731520.

The previous prime is 5640736363. The next prime is 5640736403. The reversal of 5640736400 is 46370465.

It can be written as a sum of positive squares in 6 ways, for example, as 339149056 + 5301587344 = 18416^2 + 72812^2 .

It is not an unprimeable number, because it can be changed into a prime (5640736403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537179 + ... + 547578.

Almost surely, 2^5640736400 is an apocalyptic number.

5640736400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5640736400 is an abundant number, since it is smaller than the sum of its proper divisors (8953597732).

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

5640736400 is a wasteful number, since it uses less digits than its factorization.

5640736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084788 (or 1084777 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 5640736400 is about 75104.8360626664. The cubic root of 5640736400 is about 1780.1035583397.

The spelling of 5640736400 in words is "five billion, six hundred forty million, seven hundred thirty-six thousand, four hundred".