4656507264 has 320 divisors, whose sum is σ = 15195470400. Its totient is φ = 1408942080.

The previous prime is 4656507221. The next prime is 4656507269. The reversal of 4656507264 is 4627056564.

4656507264 is a `hidden beast` number, since 465 + 65 + 0 + 72 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4656507269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5110969 + ... + 5111879.

It is an arithmetic number, because the mean of its divisors is an integer number (47485845).

Almost surely, 2^4656507264 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 4656507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7597735200).

4656507264 is an abundant number, since it is smaller than the sum of its proper divisors (10538963136).

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

4656507264 is a wasteful number, since it uses less digits than its factorization.

4656507264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 4656507264 is about 68238.6053784806. The cubic root of 4656507264 is about 1669.8857612462.

The spelling of 4656507264 in words is "four billion, six hundred fifty-six million, five hundred seven thousand, two hundred sixty-four".