4707256320 has 288 divisors, whose sum is σ = 17573938200. Its totient is φ = 1158414336.

The previous prime is 4707256277. The next prime is 4707256339. The reversal of 4707256320 is 236527074.

It is a happy number.

4707256320 is a `hidden beast` number, since 4 + 7 + 0 + 72 + 563 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2009908224 + 2697348096 = 44832^2 + 51936^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196116 + ... + 1200044.

Almost surely, 2^4707256320 is an apocalyptic number.

4707256320 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 4707256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8786969100).

4707256320 is an abundant number, since it is smaller than the sum of its proper divisors (12866681880).

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

4707256320 is a wasteful number, since it uses less digits than its factorization.

4707256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 4707256320 is about 68609.4477459191. The cubic root of 4707256320 is about 1675.9302853381.

The spelling of 4707256320 in words is "four billion, seven hundred seven million, two hundred fifty-six thousand, three hundred twenty".