6920331264 has 672 divisors, whose sum is σ = 26497995264. Its totient is φ = 1686896640.

The previous prime is 6920331227. The next prime is 6920331323. The reversal of 6920331264 is 4621330296.

6920331264 is a `hidden beast` number, since 69 + 2 + 0 + 331 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 47 ways as a sum of consecutive naturals, for example, 130572262 + ... + 130572314.

Almost surely, 2^6920331264 is an apocalyptic number.

6920331264 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 6920331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13248997632).

6920331264 is an abundant number, since it is smaller than the sum of its proper divisors (19577664000).

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

6920331264 is a wasteful number, since it uses less digits than its factorization.

6920331264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 6920331264 is about 83188.5284399237. The cubic root of 6920331264 is about 1905.6462940319.

The spelling of 6920331264 in words is "six billion, nine hundred twenty million, three hundred thirty-one thousand, two hundred sixty-four".