4476872960 has 144 divisors (see below), whose sum is σ = 12457869312. Its totient is φ = 1509580800.

The previous prime is 4476872903. The next prime is 4476872987. The reversal of 4476872960 is 692786744.

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 15 ways as a sum of consecutive naturals, for example, 542465 + ... + 550655.

Almost surely, 2^4476872960 is an apocalyptic number.

4476872960 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 4476872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228934656).

4476872960 is an abundant number, since it is smaller than the sum of its proper divisors (7980996352).

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

4476872960 is an equidigital number, since it uses as much as digits as its factorization.

4476872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The square root of 4476872960 is about 66909.4384971209. The cubic root of 4476872960 is about 1648.1304763633.

The spelling of 4476872960 in words is "four billion, four hundred seventy-six million, eight hundred seventy-two thousand, nine hundred sixty".