6057971964000 has 3072 divisors, whose sum is σ = 26768943452160. Its totient is φ = 1324781568000.

The previous prime is 6057971963999. The next prime is 6057971964007. The reversal of 6057971964000 is 4691797506.

6057971964000 is a `hidden beast` number, since 6 + 0 + 579 + 7 + 1 + 9 + 64 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×6057971964000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6057971964007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 90417491967 + ... + 90417492033.

It is an arithmetic number, because the mean of its divisors is an integer number (8713848780).

Almost surely, 2^{6057971964000} is an apocalyptic number.

6057971964000 is a gapful number since it is divisible by the number (60) 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 6057971964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13384471726080).

6057971964000 is an abundant number, since it is smaller than the sum of its proper divisors (20710971488160).

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

6057971964000 is a wasteful number, since it uses less digits than its factorization.

6057971964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 6057971964000 in words is "six trillion, fifty-seven billion, nine hundred seventy-one million, nine hundred sixty-four thousand".