5004084096 has 640 divisors, whose sum is σ = 17994636000. Its totient is φ = 1362493440.

The previous prime is 5004084061. The next prime is 5004084119. The reversal of 5004084096 is 6904804005.

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 5004084096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56225620 + ... + 56225708.

Almost surely, 2^5004084096 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 5004084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8997318000).

5004084096 is an abundant number, since it is smaller than the sum of its proper divisors (12990551904).

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

5004084096 is a wasteful number, since it uses less digits than its factorization.

5004084096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5004084096 is about 70739.5511436141. The cubic root of 5004084096 is about 1710.4414003641.

The spelling of 5004084096 in words is "five billion, four million, eighty-four thousand, ninety-six".