6520979768940 has 384 divisors, whose sum is σ = 25072873943040. Its totient is φ = 1370143641600.

The previous prime is 6520979768939. The next prime is 6520979768981. The reversal of 6520979768940 is 498679790256.

6520979768940 is a `hidden beast` number, since 6 + 520 + 9 + 7 + 9 + 7 + 6 + 8 + 94 + 0 = 666.

It is a super-3 number, since 3×6520979768940³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11567425 + ... + 12118055.

It is an arithmetic number, because the mean of its divisors is an integer number (65293942560).

Almost surely, 2^{6520979768940} is an apocalyptic number.

6520979768940 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 6520979768940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12536436971520).

6520979768940 is an abundant number, since it is smaller than the sum of its proper divisors (18551894174100).

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

6520979768940 is a wasteful number, since it uses less digits than its factorization.

6520979768940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550910 (or 550902 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 6520979768940 in words is "six trillion, five hundred twenty billion, nine hundred seventy-nine million, seven hundred sixty-eight thousand, nine hundred forty".