5180360640 has 448 divisors, whose sum is σ = 21315517440. Its totient is φ = 1035141120.

The previous prime is 5180360623. The next prime is 5180360641. The reversal of 5180360640 is 460630815.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×5180360640² = 53672272720922419200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5180360641) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1658280 + ... + 1661400.

It is an arithmetic number, because the mean of its divisors is an integer number (47579280).

Almost surely, 2^5180360640 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 5180360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10657758720).

5180360640 is an abundant number, since it is smaller than the sum of its proper divisors (16135156800).

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

5180360640 is a wasteful number, since it uses less digits than its factorization.

5180360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 5180360640 is about 71974.7222294050. The cubic root of 5180360640 is about 1730.2943845097.

The spelling of 5180360640 in words is "five billion, one hundred eighty million, three hundred sixty thousand, six hundred forty".