5602752000 has 480 divisors, whose sum is σ = 20613662784. Its totient is φ = 1462272000.

The previous prime is 5602751989. The next prime is 5602752019. The reversal of 5602752000 is 2572065.

5602752000 is a `hidden beast` number, since 5 + 602 + 7 + 52 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40895932 + ... + 40896068.

Almost surely, 2^5602752000 is an apocalyptic number.

5602752000 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 5602752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10306831392).

5602752000 is an abundant number, since it is smaller than the sum of its proper divisors (15010910784).

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

5602752000 is a wasteful number, since it uses less digits than its factorization.

5602752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5602752000 is about 74851.5330504326. The cubic root of 5602752000 is about 1776.0988501104.

The spelling of 5602752000 in words is "five billion, six hundred two million, seven hundred fifty-two thousand".