4407768960 has 512 divisors, whose sum is σ = 17355340800. Its totient is φ = 928972800.

The previous prime is 4407768947. The next prime is 4407768961. The reversal of 4407768960 is 698677044.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4407768961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10469550 + ... + 10469970.

It is an arithmetic number, because the mean of its divisors is an integer number (33897150).

Almost surely, 2^4407768960 is an apocalyptic number.

4407768960 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 4407768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8677670400).

4407768960 is an abundant number, since it is smaller than the sum of its proper divisors (12947571840).

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

4407768960 is a wasteful number, since it uses less digits than its factorization.

4407768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 4407768960 is about 66391.0307195181. The cubic root of 4407768960 is about 1639.6064096132.

The spelling of 4407768960 in words is "four billion, four hundred seven million, seven hundred sixty-eight thousand, nine hundred sixty".