5672642976000 has 3456 divisors, whose sum is σ = 28641282808320. Its totient is φ = 1086898176000.

The previous prime is 5672642975983. The next prime is 5672642976029. The reversal of 5672642976000 is 6792462765.

5672642976000 is a `hidden beast` number, since 5 + 6 + 7 + 2 + 6 + 4 + 29 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6054047532 + ... + 6054048468.

It is an arithmetic number, because the mean of its divisors is an integer number (8287408220).

Almost surely, 2^{5672642976000} is an apocalyptic number.

5672642976000 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 5672642976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14320641404160).

5672642976000 is an abundant number, since it is smaller than the sum of its proper divisors (22968639832320).

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

5672642976000 is a wasteful number, since it uses less digits than its factorization.

5672642976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 5672642976000 in words is "five trillion, six hundred seventy-two billion, six hundred forty-two million, nine hundred seventy-six thousand".