4964724864 has 144 divisors (see below), whose sum is σ = 15703798110. Its totient is φ = 1504419840.

The previous prime is 4964724841. The next prime is 4964724881. The reversal of 4964724864 is 4684274694.

4964724864 is a `hidden beast` number, since 4 + 96 + 4 + 72 + 486 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4461171264 + 503553600 = 66792^2 + 22440^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 4964724864.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 121584 + ... + 157200.

Almost surely, 2^4964724864 is an apocalyptic number.

4964724864 is a gapful number since it is divisible by the number (44) 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 4964724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851899055).

4964724864 is an abundant number, since it is smaller than the sum of its proper divisors (10739073246).

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

4964724864 is a wasteful number, since it uses less digits than its factorization.

4964724864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35659 (or 35633 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 4964724864 is about 70460.8037422225. The cubic root of 4964724864 is about 1705.9451436828.

The spelling of 4964724864 in words is "four billion, nine hundred sixty-four million, seven hundred twenty-four thousand, eight hundred sixty-four".