7912906167168 has 256 divisors, whose sum is σ = 23574355872000. Its totient is φ = 2612857927680.

The previous prime is 7912906167161. The next prime is 7912906167197. The reversal of 7912906167168 is 8617616092197.

7912906167168 is a `hidden beast` number, since 7 + 9 + 1 + 2 + 9 + 0 + 616 + 7 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×7912906167168² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7912906167161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179575923 + ... + 179619981.

It is an arithmetic number, because the mean of its divisors is an integer number (92087327625).

Almost surely, 2^{7912906167168} 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 7912906167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11787177936000).

7912906167168 is an abundant number, since it is smaller than the sum of its proper divisors (15661449704832).

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

7912906167168 is a wasteful number, since it uses less digits than its factorization.

7912906167168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44570 (or 44552 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 7912906167168 in words is "seven trillion, nine hundred twelve billion, nine hundred six million, one hundred sixty-seven thousand, one hundred sixty-eight".