6520041864 has 256 divisors, whose sum is σ = 21159936000. Its totient is φ = 1844638272.

The previous prime is 6520041721. The next prime is 6520041877. The reversal of 6520041864 is 4681400256.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17023417 + ... + 17023799.

It is an arithmetic number, because the mean of its divisors is an integer number (82656000).

Almost surely, 2^6520041864 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 6520041864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579968000).

6520041864 is an abundant number, since it is smaller than the sum of its proper divisors (14639894136).

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

6520041864 is a wasteful number, since it uses less digits than its factorization.

6520041864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6520041864 is about 80746.7761833251. The cubic root of 6520041864 is about 1868.1717252604.

The spelling of 6520041864 in words is "six billion, five hundred twenty million, forty-one thousand, eight hundred sixty-four".