5084171664 has 240 divisors, whose sum is σ = 15645498624. Its totient is φ = 1410240000.

The previous prime is 5084171629. The next prime is 5084171669. The reversal of 5084171664 is 4661714805.

It is not an unprimeable number, because it can be changed into a prime (5084171669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20255539 + ... + 20255789.

Almost surely, 2^5084171664 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 5084171664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7822749312).

5084171664 is an abundant number, since it is smaller than the sum of its proper divisors (10561326960).

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

5084171664 is a wasteful number, since it uses less digits than its factorization.

5084171664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 5084171664 is about 71303.3776479067. The cubic root of 5084171664 is about 1719.5180351423.

The spelling of 5084171664 in words is "five billion, eighty-four million, one hundred seventy-one thousand, six hundred sixty-four".