4607160480 has 576 divisors, whose sum is σ = 18545200128. Its totient is φ = 1030717440.

The previous prime is 4607160479. The next prime is 4607160499. The reversal of 4607160480 is 840617064.

4607160480 is a `hidden beast` number, since 4 + 607 + 1 + 6 + 0 + 48 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9865207 + ... + 9865673.

It is an arithmetic number, because the mean of its divisors is an integer number (32196528).

Almost surely, 2^4607160480 is an apocalyptic number.

4607160480 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 4607160480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9272600064).

4607160480 is an abundant number, since it is smaller than the sum of its proper divisors (13938039648).

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

4607160480 is a wasteful number, since it uses less digits than its factorization.

4607160480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4607160480 is about 67876.0670634355. The cubic root of 4607160480 is about 1663.9659948980.

The spelling of 4607160480 in words is "four billion, six hundred seven million, one hundred sixty thousand, four hundred eighty".