9408761856 has 312 divisors, whose sum is σ = 30322099080. Its totient is φ = 2791047168.

The previous prime is 9408761851. The next prime is 9408761893. The reversal of 9408761856 is 6581678049.

It can be written as a sum of positive squares in 4 ways, for example, as 2687385600 + 6721376256 = 51840^2 + 81984^2 .

It is a tau number, because it is divible by the number of its divisors (312).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9408761851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13897390 + ... + 13898066.

It is an arithmetic number, because the mean of its divisors is an integer number (97186215).

Almost surely, 2^9408761856 is an apocalyptic number.

9408761856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9408761856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15161049540).

9408761856 is an abundant number, since it is smaller than the sum of its proper divisors (20913337224).

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

9408761856 is a wasteful number, since it uses less digits than its factorization.

9408761856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 9408761856 is about 96998.7724458408. The cubic root of 9408761856 is about 2111.1098176892.

The spelling of 9408761856 in words is "nine billion, four hundred eight million, seven hundred sixty-one thousand, eight hundred fifty-six".