5607795600 has 720 divisors, whose sum is σ = 22796826624. Its totient is φ = 1262976000.

The previous prime is 5607795587. The next prime is 5607795659. The reversal of 5607795600 is 65977065.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42807535 + ... + 42807665.

Almost surely, 2^5607795600 is an apocalyptic number.

5607795600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5607795600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11398413312).

5607795600 is an abundant number, since it is smaller than the sum of its proper divisors (17189031024).

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

5607795600 is a wasteful number, since it uses less digits than its factorization.

5607795600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 5607795600 is about 74885.2161644740. The cubic root of 5607795600 is about 1776.6316386118.

The spelling of 5607795600 in words is "five billion, six hundred seven million, seven hundred ninety-five thousand, six hundred".