6579074116896 has 96 divisors (see below), whose sum is σ = 18181661319360. Its totient is φ = 2077300555776.

The previous prime is 6579074116861. The next prime is 6579074116919. The reversal of 6579074116896 is 6986114709756.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6579074116896² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6579074116896.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12467560 + ... + 12984536.

It is an arithmetic number, because the mean of its divisors is an integer number (189392305410).

Almost surely, 2^{6579074116896} is an apocalyptic number.

It is an amenable number.

6579074116896 is an abundant number, since it is smaller than the sum of its proper divisors (11602587202464).

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

6579074116896 is a wasteful number, since it uses less digits than its factorization.

6579074116896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523986 (or 523978 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 69.

It can be divided in two parts, 6579074 and 116896, that added together give a triangular number (6695970 = T₃₆₅₉).

The spelling of 6579074116896 in words is "six trillion, five hundred seventy-nine billion, seventy-four million, one hundred sixteen thousand, eight hundred ninety-six".