7958374364160 has 2640 divisors, whose sum is σ = 35008516509120. Its totient is φ = 1716741734400.

The previous prime is 7958374364137. The next prime is 7958374364203. The reversal of 7958374364160 is 614634738597.

It is a happy number.

7958374364160 is a `hidden beast` number, since 7 + 9 + 5 + 8 + 37 + 436 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16208501515 + ... + 16208502005.

It is an arithmetic number, because the mean of its divisors is an integer number (13260801708).

Almost surely, 2^{7958374364160} 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 7958374364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17504258254560).

7958374364160 is an abundant number, since it is smaller than the sum of its proper divisors (27050142144960).

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

7958374364160 is a wasteful number, since it uses less digits than its factorization.

7958374364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 7958374364160 in words is "seven trillion, nine hundred fifty-eight billion, three hundred seventy-four million, three hundred sixty-four thousand, one hundred sixty".