6392261664 has 384 divisors, whose sum is σ = 20956320000. Its totient is φ = 1885814784.

The previous prime is 6392261633. The next prime is 6392261677. The reversal of 6392261664 is 4661622936.

6392261664 is a `hidden beast` number, since 6 + 3 + 9 + 22 + 616 + 6 + 4 = 666.

It is a super-2 number, since 2×6392261664² = 81722018362088097792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 18315762 + ... + 18316110.

It is an arithmetic number, because the mean of its divisors is an integer number (54573750).

Almost surely, 2^6392261664 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 6392261664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478160000).

6392261664 is an abundant number, since it is smaller than the sum of its proper divisors (14564058336).

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

6392261664 is a wasteful number, since it uses less digits than its factorization.

6392261664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 443 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 6392261664 is about 79951.6207715641. The cubic root of 6392261664 is about 1855.8869363597.

The spelling of 6392261664 in words is "six billion, three hundred ninety-two million, two hundred sixty-one thousand, six hundred sixty-four".