6579254207664 has 480 divisors, whose sum is σ = 20692532450304. Its totient is φ = 1940652933120.

The previous prime is 6579254207657. The next prime is 6579254207699. The reversal of 6579254207664 is 4667024529756.

6579254207664 is a `hidden beast` number, since 6 + 57 + 92 + 5 + 420 + 76 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1278267139 + ... + 1278272285.

Almost surely, 2^{6579254207664} 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 6579254207664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10346266225152).

6579254207664 is an abundant number, since it is smaller than the sum of its proper divisors (14113278242640).

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

6579254207664 is a wasteful number, since it uses less digits than its factorization.

6579254207664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5585 (or 5576 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 6579254207664 in words is "six trillion, five hundred seventy-nine billion, two hundred fifty-four million, two hundred seven thousand, six hundred sixty-four".