9577813968 has 120 divisors (see below), whose sum is σ = 28245528480. Its totient is φ = 3021338880.

The previous prime is 9577813961. The next prime is 9577814009. The reversal of 9577813968 is 8693187759.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9577813961) 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, 4953930 + ... + 4955862.

It is an arithmetic number, because the mean of its divisors is an integer number (235379404).

Almost surely, 2^9577813968 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 9577813968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14122764240).

9577813968 is an abundant number, since it is smaller than the sum of its proper divisors (18667714512).

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

9577813968 is a wasteful number, since it uses less digits than its factorization.

9577813968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777 (or 3768 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The square root of 9577813968 is about 97866.3066024257. The cubic root of 9577813968 is about 2123.6786409872.

It can be divided in two parts, 95778 and 13968, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 9577813968 in words is "nine billion, five hundred seventy-seven million, eight hundred thirteen thousand, nine hundred sixty-eight".