5952672000 has 432 divisors, whose sum is σ = 23379108480. Its totient is φ = 1442304000.

The previous prime is 5952671983. The next prime is 5952672023. The reversal of 5952672000 is 2762595.

5952672000 is a `hidden beast` number, since 595 + 2 + 67 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3167061 + ... + 3168939.

Almost surely, 2^5952672000 is an apocalyptic number.

5952672000 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 5952672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11689554240).

5952672000 is an abundant number, since it is smaller than the sum of its proper divisors (17426436480).

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

5952672000 is a wasteful number, since it uses less digits than its factorization.

5952672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5952672000 is about 77153.5611621395. The cubic root of 5952672000 is about 1812.3301592738.

The spelling of 5952672000 in words is "five billion, nine hundred fifty-two million, six hundred seventy-two thousand".