5604456000 has 896 divisors, whose sum is σ = 23006011392. Its totient is φ = 1182720000.

The previous prime is 5604455957. The next prime is 5604456019. The reversal of 5604456000 is 6544065.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 78935965 + ... + 78936035.

It is an arithmetic number, because the mean of its divisors is an integer number (25676352).

Almost surely, 2^5604456000 is an apocalyptic number.

5604456000 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 5604456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11503005696).

5604456000 is an abundant number, since it is smaller than the sum of its proper divisors (17401555392).

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

5604456000 is a wasteful number, since it uses less digits than its factorization.

5604456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5604456000 is about 74862.9147175021. The cubic root of 5604456000 is about 1776.2788905424.

The spelling of 5604456000 in words is "five billion, six hundred four million, four hundred fifty-six thousand".