4692130560 has 864 divisors, whose sum is σ = 19686663360. Its totient is φ = 1019215872.

The previous prime is 4692130529. The next prime is 4692130601. The reversal of 4692130560 is 650312964.

It is a happy number.

4692130560 is a `hidden beast` number, since 4 + 6 + 92 + 1 + 3 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48372432 + ... + 48372528.

It is an arithmetic number, because the mean of its divisors is an integer number (22785490).

Almost surely, 2^4692130560 is an apocalyptic number.

4692130560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4692130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843331680).

4692130560 is an abundant number, since it is smaller than the sum of its proper divisors (14994532800).

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

4692130560 is a wasteful number, since it uses less digits than its factorization.

4692130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4692130560 is about 68499.1281696344. The cubic root of 4692130560 is about 1674.1332781867.

The spelling of 4692130560 in words is "four billion, six hundred ninety-two million, one hundred thirty thousand, five hundred sixty".