4879937664 has 448 divisors, whose sum is σ = 17266951680. Its totient is φ = 1343692800.

The previous prime is 4879937651. The next prime is 4879937693. The reversal of 4879937664 is 4667399784.

4879937664 is a `hidden beast` number, since 487 + 9 + 93 + 7 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 55 ways as a sum of consecutive naturals, for example, 20248584 + ... + 20248824.

Almost surely, 2^4879937664 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 4879937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633475840).

4879937664 is an abundant number, since it is smaller than the sum of its proper divisors (12387014016).

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

4879937664 is an equidigital number, since it uses as much as digits as its factorization.

4879937664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 284 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The square root of 4879937664 is about 69856.5506162450. The cubic root of 4879937664 is about 1696.1779954400.

The spelling of 4879937664 in words is "four billion, eight hundred seventy-nine million, nine hundred thirty-seven thousand, six hundred sixty-four".