5176638720 has 864 divisors, whose sum is σ = 21695506560. Its totient is φ = 1167851520.

The previous prime is 5176638713. The next prime is 5176638739. The reversal of 5176638720 is 278366715.

5176638720 is a `hidden beast` number, since 5 + 1 + 7 + 6 + 638 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58164436 + ... + 58164524.

It is an arithmetic number, because the mean of its divisors is an integer number (25110540).

Almost surely, 2^5176638720 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 5176638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10847753280).

5176638720 is an abundant number, since it is smaller than the sum of its proper divisors (16518867840).

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

5176638720 is a wasteful number, since it uses less digits than its factorization.

5176638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 5176638720 is about 71948.8618395038. The cubic root of 5176638720 is about 1729.8798985532.

The spelling of 5176638720 in words is "five billion, one hundred seventy-six million, six hundred thirty-eight thousand, seven hundred twenty".