3512564868960 has 576 divisors, whose sum is σ = 14972746973184. Its totient is φ = 731267481600.

The previous prime is 3512564868871. The next prime is 3512564868973. The reversal of 3512564868960 is 698684652153.

It is a happy number.

3512564868960 is a `hidden beast` number, since 3 + 5 + 1 + 2 + 564 + 8 + 6 + 8 + 9 + 60 = 666.

3512564868960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3512564868960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4981545 + ... + 5642775.

It is an arithmetic number, because the mean of its divisors is an integer number (25994352384).

Almost surely, 2^{3512564868960} is an apocalyptic number.

3512564868960 is a gapful number since it is divisible by the number (30) 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 3512564868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7486373486592).

3512564868960 is an abundant number, since it is smaller than the sum of its proper divisors (11460182104224).

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

3512564868960 is a wasteful number, since it uses less digits than its factorization.

3512564868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661307 (or 661296 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 3512564868960 in words is "three trillion, five hundred twelve billion, five hundred sixty-four million, eight hundred sixty-eight thousand, nine hundred sixty".