4671456960 has 112 divisors (see below), whose sum is σ = 15310420992. Its totient is φ = 1205529600.

The previous prime is 4671456901. The next prime is 4671456961. The reversal of 4671456960 is 696541764.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4671456961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48726 + ... + 108245.

Almost surely, 2^4671456960 is an apocalyptic number.

4671456960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4671456960 is an abundant number, since it is smaller than the sum of its proper divisors (10638964032).

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

4671456960 is a wasteful number, since it uses less digits than its factorization.

4671456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157022 (or 157012 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 4671456960 is about 68348.0574705675. The cubic root of 4671456960 is about 1671.6709058272.

The spelling of 4671456960 in words is "four billion, six hundred seventy-one million, four hundred fifty-six thousand, nine hundred sixty".