4764072480 has 192 divisors, whose sum is σ = 15360928128. Its totient is φ = 1240678400.

The previous prime is 4764072437. The next prime is 4764072487. The reversal of 4764072480 is 842704674.

It is not an unprimeable number, because it can be changed into a prime (4764072487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10201207 + ... + 10201673.

It is an arithmetic number, because the mean of its divisors is an integer number (80004834).

Almost surely, 2^4764072480 is an apocalyptic number.

4764072480 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 4764072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680464064).

4764072480 is an abundant number, since it is smaller than the sum of its proper divisors (10596855648).

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

4764072480 is a wasteful number, since it uses less digits than its factorization.

4764072480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 4764072480 is about 69022.2607569471. The cubic root of 4764072480 is about 1682.6461134511.

The spelling of 4764072480 in words is "four billion, seven hundred sixty-four million, seventy-two thousand, four hundred eighty".