9457759872 has 384 divisors, whose sum is σ = 32198886720. Its totient is φ = 2632089600.

The previous prime is 9457759859. The next prime is 9457759891. The reversal of 9457759872 is 2789577549.

9457759872 is a `hidden beast` number, since 9 + 4 + 577 + 59 + 8 + 7 + 2 = 666.

9457759872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9262722 + ... + 9263742.

Almost surely, 2^9457759872 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 9457759872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099443360).

9457759872 is an abundant number, since it is smaller than the sum of its proper divisors (22741126848).

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

9457759872 is a wasteful number, since it uses less digits than its factorization.

9457759872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1097 counting only the distinct ones).

The product of its digits is 44452800, while the sum is 63.

The square root of 9457759872 is about 97251.0147607725. The cubic root of 9457759872 is about 2114.7681505657.

It can be divided in two parts, 94577 and 59872, that added together give a square (154449 = 393²).

The spelling of 9457759872 in words is "nine billion, four hundred fifty-seven million, seven hundred fifty-nine thousand, eight hundred seventy-two".