6364842624000 has 4224 divisors, whose sum is σ = 29994686152704. Its totient is φ = 1313832960000.

The previous prime is 6364842623963. The next prime is 6364842624013. The reversal of 6364842624000 is 4262484636.

6364842624000 is a `hidden beast` number, since 6 + 364 + 8 + 42 + 6 + 240 + 0 + 0 = 666.

It is a super-2 number, since 2×6364842624000² (a number of 26 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 155240063980 + ... + 155240064020.

Almost surely, 2^{6364842624000} is an apocalyptic number.

6364842624000 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 6364842624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14997343076352).

6364842624000 is an abundant number, since it is smaller than the sum of its proper divisors (23629843528704).

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

6364842624000 is a wasteful number, since it uses less digits than its factorization.

6364842624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 6364842624000 in words is "six trillion, three hundred sixty-four billion, eight hundred forty-two million, six hundred twenty-four thousand".