4775480064 has 720 divisors, whose sum is σ = 17095034880. Its totient is φ = 1313832960.

The previous prime is 4775480029. The next prime is 4775480069. The reversal of 4775480064 is 4600845774.

4775480064 is a `hidden beast` number, since 47 + 7 + 548 + 0 + 0 + 64 = 666.

It is a super-2 number, since 2×4775480064² = 45610419683322888192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4775480069) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 154047729 + ... + 154047759.

It is an arithmetic number, because the mean of its divisors is an integer number (23743104).

Almost surely, 2^4775480064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4775480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8547517440).

4775480064 is an abundant number, since it is smaller than the sum of its proper divisors (12319554816).

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

4775480064 is a wasteful number, since it uses less digits than its factorization.

4775480064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4775480064 is about 69104.8483393170. The cubic root of 4775480064 is about 1683.9880764141.

The spelling of 4775480064 in words is "four billion, seven hundred seventy-five million, four hundred eighty thousand, sixty-four".