4476578880 has 112 divisors (see below), whose sum is σ = 14292218304. Its totient is φ = 1187112960.

The previous prime is 4476578867. The next prime is 4476578917. The reversal of 4476578880 is 888756744.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4476578880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160879 + ... + 186641.

It is an arithmetic number, because the mean of its divisors is an integer number (127609092).

Almost surely, 2^4476578880 is an apocalyptic number.

4476578880 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 4476578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146109152).

4476578880 is an abundant number, since it is smaller than the sum of its proper divisors (9815639424).

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

4476578880 is a wasteful number, since it uses less digits than its factorization.

4476578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25964 (or 25954 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 57.

The square root of 4476578880 is about 66907.2408637511. The cubic root of 4476578880 is about 1648.0943877193.

The spelling of 4476578880 in words is "four billion, four hundred seventy-six million, five hundred seventy-eight thousand, eight hundred eighty".