9665249400 has 192 divisors, whose sum is σ = 33469286400. Its totient is φ = 2563632000.

The previous prime is 9665249353. The next prime is 9665249443. The reversal of 9665249400 is 49425669.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026715 + ... + 1036085.

It is an arithmetic number, because the mean of its divisors is an integer number (174319200).

Almost surely, 2^9665249400 is an apocalyptic number.

9665249400 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 9665249400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16734643200).

9665249400 is an abundant number, since it is smaller than the sum of its proper divisors (23804037000).

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

9665249400 is a wasteful number, since it uses less digits than its factorization.

9665249400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9587 (or 9572 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9665249400 is about 98312.0002848076. Note that the first 3 decimals coincide. The cubic root of 9665249400 is about 2130.1213975642.

The spelling of 9665249400 in words is "nine billion, six hundred sixty-five million, two hundred forty-nine thousand, four hundred".