5173668864 has 528 divisors, whose sum is σ = 19074764800. Its totient is φ = 1313832960.

The previous prime is 5173668853. The next prime is 5173668869. The reversal of 5173668864 is 4688663715.

5173668864 is a `hidden beast` number, since 517 + 3 + 6 + 68 + 8 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5173668864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5173668869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25998237 + ... + 25998435.

Almost surely, 2^5173668864 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 5173668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9537382400).

5173668864 is an abundant number, since it is smaller than the sum of its proper divisors (13901095936).

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

5173668864 is a wasteful number, since it uses less digits than its factorization.

5173668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 255 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 5173668864 is about 71928.2202198831. The cubic root of 5173668864 is about 1729.5490225251.

The spelling of 5173668864 in words is "five billion, one hundred seventy-three million, six hundred sixty-eight thousand, eight hundred sixty-four".