5612648000 has 56 divisors (see below), whose sum is σ = 13899742584. Its totient is φ = 2245056000.

The previous prime is 5612647981. The next prime is 5612648011. The reversal of 5612648000 is 8462165.

It can be written as a sum of positive squares in 4 ways, for example, as 57032704 + 5555615296 = 7552^2 + 74536^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342791 + ... + 358790.

It is an arithmetic number, because the mean of its divisors is an integer number (248209689).

Almost surely, 2^5612648000 is an apocalyptic number.

5612648000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5612648000 is an abundant number, since it is smaller than the sum of its proper divisors (8287094584).

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

5612648000 is an equidigital number, since it uses as much as digits as its factorization.

5612648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701608 (or 701588 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 5612648000 is about 74917.6080771403. The cubic root of 5612648000 is about 1777.1439279689.

The spelling of 5612648000 in words is "five billion, six hundred twelve million, six hundred forty-eight thousand".