9240649600 has 288 divisors, whose sum is σ = 28261070640. Its totient is φ = 2923315200.

The previous prime is 9240649597. The next prime is 9240649609. The reversal of 9240649600 is 69460429.

It is a super-3 number, since 3×9240649600³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9240649609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3784380 + ... + 3786820.

Almost surely, 2^9240649600 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 9240649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14130535320).

9240649600 is an abundant number, since it is smaller than the sum of its proper divisors (19020421040).

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

9240649600 is a wasteful number, since it uses less digits than its factorization.

9240649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 9240649600 is about 96128.2976027351. The cubic root of 9240649600 is about 2098.4606708679.

The spelling of 9240649600 in words is "nine billion, two hundred forty million, six hundred forty-nine thousand, six hundred".