9198772560 has 160 divisors (see below), whose sum is σ = 31935098880. Its totient is φ = 2433618432.

The previous prime is 9198772511. The next prime is 9198772619. The reversal of 9198772560 is 652778919.

9198772560 is a `hidden beast` number, since 9 + 1 + 9 + 8 + 7 + 72 + 560 = 666.

It is a super-2 number, since 2×9198772560² (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 a junction number, because it is equal to n+sod(n) for n = 9198772497 and 9198772506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257554 + ... + 291086.

It is an arithmetic number, because the mean of its divisors is an integer number (199594368).

Almost surely, 2^9198772560 is an apocalyptic number.

9198772560 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 9198772560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15967549440).

9198772560 is an abundant number, since it is smaller than the sum of its proper divisors (22736326320).

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

9198772560 is a wasteful number, since it uses less digits than its factorization.

9198772560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33682 (or 33670 counting only the distinct ones).

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

The square root of 9198772560 is about 95910.2317795135. The cubic root of 9198772560 is about 2095.2859155274.

The spelling of 9198772560 in words is "nine billion, one hundred ninety-eight million, seven hundred seventy-two thousand, five hundred sixty".