4778576118960 has 320 divisors, whose sum is σ = 17929393016832. Its totient is φ = 1027783507968.

The previous prime is 4778576118947. The next prime is 4778576118961. The reversal of 4778576118960 is 698116758774.

It is not an unprimeable number, because it can be changed into a prime (4778576118961) 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, 165833514 + ... + 165862326.

Almost surely, 2^{4778576118960} is an apocalyptic number.

4778576118960 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 4778576118960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964696508416).

4778576118960 is an abundant number, since it is smaller than the sum of its proper divisors (13150816897872).

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

4778576118960 is a wasteful number, since it uses less digits than its factorization.

4778576118960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34660 (or 34654 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 69.

The spelling of 4778576118960 in words is "four trillion, seven hundred seventy-eight billion, five hundred seventy-six million, one hundred eighteen thousand, nine hundred sixty".