6368751858960 has 400 divisors, whose sum is σ = 22532288448384. Its totient is φ = 1666941825024.

The previous prime is 6368751858941. The next prime is 6368751858971. The reversal of 6368751858960 is 698581578636.

It is a happy number.

6368751858960 is a `hidden beast` number, since 6 + 36 + 8 + 7 + 5 + 1 + 8 + 589 + 6 + 0 = 666.

It is a super-2 number, since 2×6368751858960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75378499 + ... + 75462941.

Almost surely, 2^{6368751858960} is an apocalyptic number.

6368751858960 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 6368751858960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11266144224192).

6368751858960 is an abundant number, since it is smaller than the sum of its proper divisors (16163536589424).

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

6368751858960 is a wasteful number, since it uses less digits than its factorization.

6368751858960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84684 (or 84669 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 6368751858960 in words is "six trillion, three hundred sixty-eight billion, seven hundred fifty-one million, eight hundred fifty-eight thousand, nine hundred sixty".