4715832960 has 192 divisors, whose sum is σ = 16888042080. Its totient is φ = 1257513984.

The previous prime is 4715832917. The next prime is 4715832973. The reversal of 4715832960 is 692385174.

4715832960 is a `hidden beast` number, since 4 + 7 + 1 + 583 + 2 + 9 + 60 = 666.

4715832960 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

4715832960 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140359 + ... + 170681.

It is a 1-persistent number, because it is pandigital, but 2⋅4715832960 = 9431665920 is not.

Almost surely, 2^4715832960 is an apocalyptic number.

4715832960 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 4715832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8444021040).

4715832960 is an abundant number, since it is smaller than the sum of its proper divisors (12172209120).

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

4715832960 is an equidigital number, since it uses as much as digits as its factorization.

4715832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30357 (or 30333 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4715832960 is about 68671.9226467411. The cubic root of 4715832960 is about 1676.9475183668.

The spelling of 4715832960 in words is "four billion, seven hundred fifteen million, eight hundred thirty-two thousand, nine hundred sixty".