9799257600 has 1080 divisors, whose sum is σ = 41672150520. Its totient is φ = 2189721600.

The previous prime is 9799257593. The next prime is 9799257613. The reversal of 9799257600 is 67529979.

9799257600 is a `hidden beast` number, since 9 + 7 + 9 + 9 + 25 + 7 + 600 = 666.

It is a super-2 number, since 2×9799257600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 264844782 + ... + 264844818.

Almost surely, 2^9799257600 is an apocalyptic number.

9799257600 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 9799257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20836075260).

9799257600 is an abundant number, since it is smaller than the sum of its proper divisors (31872892920).

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

9799257600 is a wasteful number, since it uses less digits than its factorization.

9799257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The square root of 9799257600 is about 98991.1996088541. The cubic root of 9799257600 is about 2139.9209217584.

The spelling of 9799257600 in words is "nine billion, seven hundred ninety-nine million, two hundred fifty-seven thousand, six hundred".