5180132736 has 320 divisors, whose sum is σ = 16208501760. Its totient is φ = 1640217600.

The previous prime is 5180132723. The next prime is 5180132791. The reversal of 5180132736 is 6372310815.

5180132736 is a `hidden beast` number, since 518 + 0 + 132 + 7 + 3 + 6 = 666.

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 5180132736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22819855 + ... + 22820081.

It is an arithmetic number, because the mean of its divisors is an integer number (50651568).

Almost surely, 2^5180132736 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 5180132736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104250880).

5180132736 is an abundant number, since it is smaller than the sum of its proper divisors (11028369024).

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

5180132736 is a wasteful number, since it uses less digits than its factorization.

5180132736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5180132736 is about 71973.1389894869. The cubic root of 5180132736 is about 1730.2690100347.

The spelling of 5180132736 in words is "five billion, one hundred eighty million, one hundred thirty-two thousand, seven hundred thirty-six".