5179347840 has 256 divisors, whose sum is σ = 17655563520. Its totient is φ = 1286897664.

The previous prime is 5179347827. The next prime is 5179347911. The reversal of 5179347840 is 487439715.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5179347840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3491739 + ... + 3493221.

It is an arithmetic number, because the mean of its divisors is an integer number (68967045).

Almost surely, 2^5179347840 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 5179347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8827781760).

5179347840 is an abundant number, since it is smaller than the sum of its proper divisors (12476215680).

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

5179347840 is a wasteful number, since it uses less digits than its factorization.

5179347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 5179347840 is about 71967.6860820188. The cubic root of 5179347840 is about 1730.1816152457.

The spelling of 5179347840 in words is "five billion, one hundred seventy-nine million, three hundred forty-seven thousand, eight hundred forty".