9608774400 has 324 divisors, whose sum is σ = 35852111568. Its totient is φ = 2450595840.

The previous prime is 9608774393. The next prime is 9608774401. The reversal of 9608774400 is 44778069.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9608774401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1321174 + ... + 1328426.

Almost surely, 2^9608774400 is an apocalyptic number.

9608774400 is a gapful number since it is divisible by the number (90) 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 9608774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926055784).

9608774400 is an abundant number, since it is smaller than the sum of its proper divisors (26243337168).

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

9608774400 is a wasteful number, since it uses less digits than its factorization.

9608774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7308 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 9608774400 is about 98024.3561570286. The cubic root of 9608774400 is about 2125.9644544778.

The spelling of 9608774400 in words is "nine billion, six hundred eight million, seven hundred seventy-four thousand, four hundred".