9577920816 has 120 divisors (see below), whose sum is σ = 28150420480. Its totient is φ = 3152126016.

The previous prime is 9577920809. The next prime is 9577920839. The reversal of 9577920816 is 6180297759.

9577920816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9577920816² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 291561 + ... + 322743.

Almost surely, 2^9577920816 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 9577920816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14075210240).

9577920816 is an abundant number, since it is smaller than the sum of its proper divisors (18572499664).

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

9577920816 is a wasteful number, since it uses less digits than its factorization.

9577920816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31285 (or 31267 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 9577920816 is about 97866.8524884703. The cubic root of 9577920816 is about 2123.6865380561.

The spelling of 9577920816 in words is "nine billion, five hundred seventy-seven million, nine hundred twenty thousand, eight hundred sixteen".