5877492768 has 216 divisors, whose sum is σ = 19626466860. Its totient is φ = 1663441920.

The previous prime is 5877492763. The next prime is 5877492769. The reversal of 5877492768 is 8672947785.

5877492768 is a `hidden beast` number, since 5 + 8 + 77 + 492 + 76 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5255090064 + 622402704 = 72492^2 + 24948^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5877492763) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1536298 + ... + 1540118.

Almost surely, 2^5877492768 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 5877492768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9813233430).

5877492768 is an abundant number, since it is smaller than the sum of its proper divisors (13748974092).

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

5877492768 is a wasteful number, since it uses less digits than its factorization.

5877492768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3942 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The square root of 5877492768 is about 76664.8078847133. The cubic root of 5877492768 is about 1804.6682086974.

The spelling of 5877492768 in words is "five billion, eight hundred seventy-seven million, four hundred ninety-two thousand, seven hundred sixty-eight".