3560132947968 has 156 divisors (see below), whose sum is σ = 10288404497280. Its totient is φ = 1186153463808.

The previous prime is 3560132947961. The next prime is 3560132948017. The reversal of 3560132947968 is 8697492310653.

3560132947968 is a `hidden beast` number, since 3 + 560 + 1 + 3 + 2 + 9 + 4 + 7 + 9 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (3560132947961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82516930 + ... + 82560062.

It is an arithmetic number, because the mean of its divisors is an integer number (65951310880).

It is a 1-persistent number, because it is pandigital, but 2⋅3560132947968 = 7120265895936 is not.

Almost surely, 2^{3560132947968} 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 3560132947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144202248640).

3560132947968 is an abundant number, since it is smaller than the sum of its proper divisors (6728271549312).

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

3560132947968 is a wasteful number, since it uses less digits than its factorization.

3560132947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45402 (or 45377 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 3560132947968 in words is "three trillion, five hundred sixty billion, one hundred thirty-two million, nine hundred forty-seven thousand, nine hundred sixty-eight".