7742456160 has 96 divisors (see below), whose sum is σ = 24955983360. Its totient is φ = 2016634368.

The previous prime is 7742456159. The next prime is 7742456173. The reversal of 7742456160 is 616542477.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166920 + ... + 208199.

It is an arithmetic number, because the mean of its divisors is an integer number (259958160).

Almost surely, 2^7742456160 is an apocalyptic number.

It is an amenable number.

7742456160 is an abundant number, since it is smaller than the sum of its proper divisors (17213527200).

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

7742456160 is a wasteful number, since it uses less digits than its factorization.

7742456160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375180 (or 375172 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 7742456160 is about 87991.2277445883. The cubic root of 7742456160 is about 1978.3034952897.

The spelling of 7742456160 in words is "seven billion, seven hundred forty-two million, four hundred fifty-six thousand, one hundred sixty".