4668792960 has 256 divisors, whose sum is σ = 16970808960. Its totient is φ = 1081540608.

The previous prime is 4668792907. The next prime is 4668793013. The reversal of 4668792960 is 692978664.

It is an interprime number because it is at equal distance from previous prime (4668792907) and next prime (4668793013).

It is a self number, because there is not a number n which added to its sum of digits gives 4668792960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418819 + ... + 429821.

Almost surely, 2^4668792960 is an apocalyptic number.

4668792960 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 4668792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485404480).

4668792960 is an abundant number, since it is smaller than the sum of its proper divisors (12302016000).

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

4668792960 is a wasteful number, since it uses less digits than its factorization.

4668792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11055 (or 11043 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The square root of 4668792960 is about 68328.5662076997. The cubic root of 4668792960 is about 1671.3530764978.

The spelling of 4668792960 in words is "four billion, six hundred sixty-eight million, seven hundred ninety-two thousand, nine hundred sixty".