6242570964000 has 768 divisors, whose sum is σ = 26009586570240. Its totient is φ = 1424648908800.

The previous prime is 6242570963939. The next prime is 6242570964011. The reversal of 6242570964000 is 4690752426.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 511805902 + ... + 511818098.

It is an arithmetic number, because the mean of its divisors is an integer number (33866649180).

Almost surely, 2^{6242570964000} is an apocalyptic number.

6242570964000 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 6242570964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13004793285120).

6242570964000 is an abundant number, since it is smaller than the sum of its proper divisors (19767015606240).

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

6242570964000 is a wasteful number, since it uses less digits than its factorization.

6242570964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12915 (or 12891 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6242570964000 in words is "six trillion, two hundred forty-two billion, five hundred seventy million, nine hundred sixty-four thousand".