4770464160 has 384 divisors, whose sum is σ = 18839568384. Its totient is φ = 985743360.

The previous prime is 4770464147. The next prime is 4770464173. The reversal of 4770464160 is 614640774.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4770464147) and next prime (4770464173).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12455329 + ... + 12455711.

It is an arithmetic number, because the mean of its divisors is an integer number (49061376).

Almost surely, 2^4770464160 is an apocalyptic number.

4770464160 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 4770464160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9419784192).

4770464160 is an abundant number, since it is smaller than the sum of its proper divisors (14069104224).

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

4770464160 is a wasteful number, since it uses less digits than its factorization.

4770464160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 4770464160 is about 69068.5468212558. The cubic root of 4770464160 is about 1683.3982801026.

The spelling of 4770464160 in words is "four billion, seven hundred seventy million, four hundred sixty-four thousand, one hundred sixty".