5760615168 has 432 divisors, whose sum is σ = 21810297600. Its totient is φ = 1416683520.

The previous prime is 5760615163. The next prime is 5760615191. The reversal of 5760615168 is 8615160675.

5760615168 is a `hidden beast` number, since 5 + 76 + 0 + 61 + 516 + 8 = 666.

It is a super-2 number, since 2×5760615168² = 66369374227583336448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5760615163) 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, 3369898 + ... + 3371606.

It is an arithmetic number, because the mean of its divisors is an integer number (50486800).

Almost surely, 2^5760615168 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 5760615168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10905148800).

5760615168 is an abundant number, since it is smaller than the sum of its proper divisors (16049682432).

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

5760615168 is a wasteful number, since it uses less digits than its factorization.

5760615168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5760615168 is about 75898.7165108871. The cubic root of 5760615168 is about 1792.6257115548.

The spelling of 5760615168 in words is "five billion, seven hundred sixty million, six hundred fifteen thousand, one hundred sixty-eight".