5179945680 has 960 divisors, whose sum is σ = 23493496320. Its totient is φ = 1021206528.

The previous prime is 5179945663. The next prime is 5179945697. The reversal of 5179945680 is 865499715.

5179945680 is a `hidden beast` number, since 5 + 1 + 79 + 9 + 4 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5179945663) and next prime (5179945697).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70958124 + ... + 70958196.

It is an arithmetic number, because the mean of its divisors is an integer number (24472392).

Almost surely, 2^5179945680 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 5179945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11746748160).

5179945680 is an abundant number, since it is smaller than the sum of its proper divisors (18313550640).

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

5179945680 is a wasteful number, since it uses less digits than its factorization.

5179945680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 5179945680 is about 71971.8394929572. The cubic root of 5179945680 is about 1730.2481829561.

It can be divided in two parts, 51799 and 45680, that added together give a palindrome (97479).

The spelling of 5179945680 in words is "five billion, one hundred seventy-nine million, nine hundred forty-five thousand, six hundred eighty".