5002736256 has 576 divisors, whose sum is σ = 18308983680. Its totient is φ = 1330255872.

The previous prime is 5002736227. The next prime is 5002736311. The reversal of 5002736256 is 6526372005.

It is a happy number.

5002736256 is a `hidden beast` number, since 5 + 0 + 0 + 27 + 3 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5002736256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135209070 + ... + 135209106.

It is an arithmetic number, because the mean of its divisors is an integer number (31786430).

Almost surely, 2^5002736256 is an apocalyptic number.

5002736256 is a gapful number since it is divisible by the number (56) 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 5002736256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9154491840).

5002736256 is an abundant number, since it is smaller than the sum of its proper divisors (13306247424).

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

5002736256 is an frugal number, since it uses more digits than its factorization.

5002736256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5002736256 is about 70730.0237240169. The cubic root of 5002736256 is about 1710.2878185891.

The spelling of 5002736256 in words is "five billion, two million, seven hundred thirty-six thousand, two hundred fifty-six".