5004663837264 has 960 divisors, whose sum is σ = 18790903971840. Its totient is φ = 1206233026560.

The previous prime is 5004663837203. The next prime is 5004663837287. The reversal of 5004663837264 is 4627383664005.

5004663837264 is a `hidden beast` number, since 50 + 0 + 466 + 3 + 8 + 3 + 72 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5004663837264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2956091202 + ... + 2956092894.

It is an arithmetic number, because the mean of its divisors is an integer number (19573858304).

Almost surely, 2^{5004663837264} 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 5004663837264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395451985920).

5004663837264 is an abundant number, since it is smaller than the sum of its proper divisors (13786240134576).

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

5004663837264 is a wasteful number, since it uses less digits than its factorization.

5004663837264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 5004663837264 in words is "five trillion, four billion, six hundred sixty-three million, eight hundred thirty-seven thousand, two hundred sixty-four".