4991076864 has 240 divisors, whose sum is σ = 15331087200. Its totient is φ = 1558683648.

The previous prime is 4991076803. The next prime is 4991076877. The reversal of 4991076864 is 4686701994.

4991076864 is a `hidden beast` number, since 499 + 1 + 0 + 76 + 86 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4991076864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9542907 + ... + 9543429.

It is an arithmetic number, because the mean of its divisors is an integer number (63879530).

Almost surely, 2^4991076864 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 4991076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665543600).

4991076864 is an abundant number, since it is smaller than the sum of its proper divisors (10340010336).

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

4991076864 is a wasteful number, since it uses less digits than its factorization.

4991076864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 4991076864 is about 70647.5538430029. The cubic root of 4991076864 is about 1708.9581177594.

The spelling of 4991076864 in words is "four billion, nine hundred ninety-one million, seventy-six thousand, eight hundred sixty-four".