9797533200 has 600 divisors, whose sum is σ = 43290020928. Its totient is φ = 2066549760.

The previous prime is 9797533183. The next prime is 9797533219. The reversal of 9797533200 is 23357979.

9797533200 is a `hidden beast` number, since 9 + 7 + 97 + 533 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×9797533200³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2946739 + ... + 2950061.

Almost surely, 2^9797533200 is an apocalyptic number.

9797533200 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 9797533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21645010464).

9797533200 is an abundant number, since it is smaller than the sum of its proper divisors (33492487728).

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

9797533200 is a wasteful number, since it uses less digits than its factorization.

9797533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The square root of 9797533200 is about 98982.4893604924. The cubic root of 9797533200 is about 2139.7953919730.

The spelling of 9797533200 in words is "nine billion, seven hundred ninety-seven million, five hundred thirty-three thousand, two hundred".