5649025600 has 63 divisors (see below), whose sum is σ = 13907535177. Its totient is φ = 2258407680.

The previous prime is 5649025559. The next prime is 5649025609. The reversal of 5649025600 is 65209465.

The square root of 5649025600 is 75160.

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., 2033649216 + 3615376384 = 45096^2 + 60128^2 .

It is a super-2 number, since 2×5649025600² = 63822980458910720000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5649025600.

It is not an unprimeable number, because it can be changed into a prime (5649025609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3005461 + ... + 3007339.

Almost surely, 2^5649025600 is an apocalyptic number.

5649025600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5649025600 is the 75160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5649025600

5649025600 is an abundant number, since it is smaller than the sum of its proper divisors (8258509577).

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

5649025600 is an frugal number, since it uses more digits than its factorization.

5649025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The cubic root of 5649025600 is about 1780.9751001234.

The spelling of 5649025600 in words is "five billion, six hundred forty-nine million, twenty-five thousand, six hundred".