7925295168 has 336 divisors, whose sum is σ = 26627328000. Its totient is φ = 2207222784.

The previous prime is 7925295167. The next prime is 7925295187. The reversal of 7925295168 is 8615925297.

7925295168 is a `hidden beast` number, since 7 + 9 + 2 + 529 + 51 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (7925295167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44275303 + ... + 44275481.

It is an arithmetic number, because the mean of its divisors is an integer number (79248000).

Almost surely, 2^7925295168 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 7925295168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313664000).

7925295168 is an abundant number, since it is smaller than the sum of its proper divisors (18702032832).

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

7925295168 is a wasteful number, since it uses less digits than its factorization.

7925295168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 409 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 7925295168 is about 89024.1268870411. The cubic root of 7925295168 is about 1993.7551183551.

The spelling of 7925295168 in words is "seven billion, nine hundred twenty-five million, two hundred ninety-five thousand, one hundred sixty-eight".