6057972000 has 144 divisors (see below), whose sum is σ = 21499870392. Its totient is φ = 1615449600.

The previous prime is 6057971993. The next prime is 6057972007. The reversal of 6057972000 is 2797506.

6057972000 is a `hidden beast` number, since 60 + 579 + 7 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6057971993) and next prime (6057972007).

It can be written as a sum of positive squares in 4 ways, for example, as 574273296 + 5483698704 = 23964^2 + 74052^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (6057972007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48139 + ... + 120138.

Almost surely, 2^6057972000 is an apocalyptic number.

6057972000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6057972000 is an abundant number, since it is smaller than the sum of its proper divisors (15441898392).

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

6057972000 is a wasteful number, since it uses less digits than its factorization.

6057972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168308 (or 168287 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 6057972000 is about 77832.9750170196. The cubic root of 6057972000 is about 1822.9541846464.

The spelling of 6057972000 in words is "six billion, fifty-seven million, nine hundred seventy-two thousand".