4295712960 has 672 divisors, whose sum is σ = 19069263360. Its totient is φ = 891095040.

The previous prime is 4295712937. The next prime is 4295712961. The reversal of 4295712960 is 692175924.

4295712960 is a `hidden beast` number, since 4 + 295 + 71 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4295712961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7317787 + ... + 7318373.

It is an arithmetic number, because the mean of its divisors is an integer number (28376880).

Almost surely, 2^4295712960 is an apocalyptic number.

4295712960 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 4295712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9534631680).

4295712960 is an abundant number, since it is smaller than the sum of its proper divisors (14773550400).

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

4295712960 is a wasteful number, since it uses less digits than its factorization.

4295712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 4295712960 is about 65541.6887179450. The cubic root of 4295712960 is about 1625.5927412385.

The spelling of 4295712960 in words is "four billion, two hundred ninety-five million, seven hundred twelve thousand, nine hundred sixty".