4880774160 has 120 divisors (see below), whose sum is σ = 16615983384. Its totient is φ = 1283696640.

The previous prime is 4880774147. The next prime is 4880774177. The reversal of 4880774160 is 614770884.

4880774160 is a `hidden beast` number, since 488 + 0 + 7 + 7 + 4 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16548624 + 4864225536 = 4068^2 + 69744^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 6130 + ... + 98990.

Almost surely, 2^4880774160 is an apocalyptic number.

4880774160 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 4880774160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307991692).

4880774160 is an abundant number, since it is smaller than the sum of its proper divisors (11735209224).

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

4880774160 is a wasteful number, since it uses less digits than its factorization.

4880774160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92953 (or 92944 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 4880774160 is about 69862.5376006340. The cubic root of 4880774160 is about 1696.2749068586.

The spelling of 4880774160 in words is "four billion, eight hundred eighty million, seven hundred seventy-four thousand, one hundred sixty".