5607014400 has 675 divisors, whose sum is σ = 22492350111. Its totient is φ = 1380188160.

The previous prime is 5607014377. The next prime is 5607014407. The reversal of 5607014400 is 44107065.

The square root of 5607014400 is 74880.

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

5607014400 is a `hidden beast` number, since 5 + 607 + 0 + 14 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1445216256 + 4161798144 = 38016^2 + 64512^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-2 number, since 2×5607014400² = 62877220963614720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5607014407) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 431308794 + ... + 431308806.

Almost surely, 2^5607014400 is an apocalyptic number.

5607014400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5607014400 is the 74880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5607014400

5607014400 is an abundant number, since it is smaller than the sum of its proper divisors (16885335711).

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

5607014400 is an equidigital number, since it uses as much as digits as its factorization.

5607014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The cubic root of 5607014400 is about 1776.5491362533.

The spelling of 5607014400 in words is "five billion, six hundred seven million, fourteen thousand, four hundred".