5179418640 has 480 divisors, whose sum is σ = 20093463936. Its totient is φ = 1229230080.

The previous prime is 5179418627. The next prime is 5179418653. The reversal of 5179418640 is 468149715.

5179418640 is a `hidden beast` number, since 5 + 179 + 418 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5179418627) and next prime (5179418653).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11333292 + ... + 11333748.

Almost surely, 2^5179418640 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 5179418640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10046731968).

5179418640 is an abundant number, since it is smaller than the sum of its proper divisors (14914045296).

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

5179418640 is a wasteful number, since it uses less digits than its factorization.

5179418640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5179418640 is about 71968.1779677657. The cubic root of 5179418640 is about 1730.1894988830.

The spelling of 5179418640 in words is "five billion, one hundred seventy-nine million, four hundred eighteen thousand, six hundred forty".