5180643360 has 288 divisors, whose sum is σ = 19301405760. Its totient is φ = 1308607488.

The previous prime is 5180643271. The next prime is 5180643371. The reversal of 5180643360 is 633460815.

5180643360 is a `hidden beast` number, since 5 + 1 + 8 + 0 + 643 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×5180643360³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 735214 + ... + 742226.

It is an arithmetic number, because the mean of its divisors is an integer number (67018770).

Almost surely, 2^5180643360 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 5180643360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9650702880).

5180643360 is an abundant number, since it is smaller than the sum of its proper divisors (14120762400).

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

5180643360 is a wasteful number, since it uses less digits than its factorization.

5180643360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7062 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5180643360 is about 71976.6862254716. The cubic root of 5180643360 is about 1730.3258610782.

The spelling of 5180643360 in words is "five billion, one hundred eighty million, six hundred forty-three thousand, three hundred sixty".