2160079294464 has 832 divisors, whose sum is σ = 8090516743680. Its totient is φ = 554198630400.

The previous prime is 2160079294463. The next prime is 2160079294507. The reversal of 2160079294464 is 4644929700612.

2160079294464 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 0 + 7 + 92 + 94 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2160079294464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2160079294463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372360364 + ... + 372366164.

Almost surely, 2^{2160079294464} is an apocalyptic number.

2160079294464 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 2160079294464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045258371840).

2160079294464 is an abundant number, since it is smaller than the sum of its proper divisors (5930437449216).

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

2160079294464 is a wasteful number, since it uses less digits than its factorization.

2160079294464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2160079294464 in words is "two trillion, one hundred sixty billion, seventy-nine million, two hundred ninety-four thousand, four hundred sixty-four".