6522120139968 has 672 divisors, whose sum is σ = 20026812798720. Its totient is φ = 2103789957120.

The previous prime is 6522120139963. The next prime is 6522120139979. The reversal of 6522120139968 is 8699310212256.

6522120139968 is a `hidden beast` number, since 6 + 5 + 221 + 20 + 1 + 399 + 6 + 8 = 666.

It is a super-2 number, since 2×6522120139968² (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 not an unprimeable number, because it can be changed into a prime (6522120139963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28731806671 + ... + 28731806897.

It is an arithmetic number, because the mean of its divisors is an integer number (29801804760).

Almost surely, 2^{6522120139968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6522120139968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013406399360).

6522120139968 is an abundant number, since it is smaller than the sum of its proper divisors (13504692658752).

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

6522120139968 is a wasteful number, since it uses less digits than its factorization.

6522120139968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 6522120139968 in words is "six trillion, five hundred twenty-two billion, one hundred twenty million, one hundred thirty-nine thousand, nine hundred sixty-eight".