7945022343168 has 384 divisors, whose sum is σ = 24337105228800. Its totient is φ = 2558391091200.

The previous prime is 7945022343151. The next prime is 7945022343179. The reversal of 7945022343168 is 8613432205497.

7945022343168 is a `hidden beast` number, since 7 + 9 + 450 + 2 + 23 + 4 + 3 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050786108 + ... + 1050793668.

It is an arithmetic number, because the mean of its divisors is an integer number (63377878200).

It is a 1-persistent number, because it is pandigital, but 2⋅7945022343168 = 15890044686336 is not.

Almost surely, 2^{7945022343168} 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 7945022343168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12168552614400).

7945022343168 is an abundant number, since it is smaller than the sum of its proper divisors (16392082885632).

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

7945022343168 is a wasteful number, since it uses less digits than its factorization.

7945022343168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8236 (or 8210 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 7945022343168 in words is "seven trillion, nine hundred forty-five billion, twenty-two million, three hundred forty-three thousand, one hundred sixty-eight".