5180624640 has 216 divisors, whose sum is σ = 18070660608. Its totient is φ = 1370234880.

The previous prime is 5180624629. The next prime is 5180624651. The reversal of 5180624640 is 464260815.

5180624640 is a `hidden beast` number, since 5 + 1 + 8 + 0 + 6 + 2 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (5180624629) and next prime (5180624651).

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

It is a junction number, because it is equal to n+sod(n) for n = 5180624595 and 5180624604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1461270 + ... + 1464810.

Almost surely, 2^5180624640 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 5180624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035330304).

5180624640 is an abundant number, since it is smaller than the sum of its proper divisors (12890035968).

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

5180624640 is a wasteful number, since it uses less digits than its factorization.

5180624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5180624640 is about 71976.5561832462. The cubic root of 5180624640 is about 1730.3237769266.

The spelling of 5180624640 in words is "five billion, one hundred eighty million, six hundred twenty-four thousand, six hundred forty".