6479568203264 has 120 divisors (see below), whose sum is σ = 14121324637200. Its totient is φ = 2968735531008.

The previous prime is 6479568203231. The next prime is 6479568203279. The reversal of 6479568203264 is 4623028659746.

It is a happy number.

It is a super-2 number, since 2×6479568203264² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6479568203197 and 6479568203206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11581037 + ... + 12127635.

It is an arithmetic number, because the mean of its divisors is an integer number (117677705310).

Almost surely, 2^{6479568203264} is an apocalyptic number.

6479568203264 is a gapful number since it is divisible by the number (64) 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 6479568203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060662318600).

6479568203264 is an abundant number, since it is smaller than the sum of its proper divisors (7641756433936).

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

6479568203264 is a wasteful number, since it uses less digits than its factorization.

6479568203264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546780 (or 546751 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 62.

The spelling of 6479568203264 in words is "six trillion, four hundred seventy-nine billion, five hundred sixty-eight million, two hundred three thousand, two hundred sixty-four".