2160793415664 has 180 divisors, whose sum is σ = 6671728064664. Its totient is φ = 652314604032.

The previous prime is 2160793415659. The next prime is 2160793415749. The reversal of 2160793415664 is 4665143970612.

It is a happy number.

2160793415664 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 79 + 3 + 4 + 1 + 566 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2160793415664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 452167 + ... + 2127449.

Almost surely, 2^{2160793415664} is an apocalyptic number.

2160793415664 is a gapful number since it is divisible by the number (24) 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 2160793415664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335864032332).

2160793415664 is an abundant number, since it is smaller than the sum of its proper divisors (4510934649000).

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

2160793415664 is a wasteful number, since it uses less digits than its factorization.

2160793415664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675376 (or 1675354 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2160793415664 in words is "two trillion, one hundred sixty billion, seven hundred ninety-three million, four hundred fifteen thousand, six hundred sixty-four".