9001659340800 has 2016 divisors, whose sum is σ = 38681526723840. Its totient is φ = 2034052300800.

The previous prime is 9001659340703. The next prime is 9001659340811. The reversal of 9001659340800 is 80439561009.

It is a happy number.

9001659340800 is a `hidden beast` number, since 9 + 0 + 0 + 16 + 593 + 40 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 167 ways as a sum of consecutive naturals, for example, 34226841469 + ... + 34226841731.

It is an arithmetic number, because the mean of its divisors is an integer number (19187265240).

Almost surely, 2^{9001659340800} is an apocalyptic number.

9001659340800 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 9001659340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19340763361920).

9001659340800 is an abundant number, since it is smaller than the sum of its proper divisors (29679867383040).

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

9001659340800 is a wasteful number, since it uses less digits than its factorization.

9001659340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 9001659340800 in words is "nine trillion, one billion, six hundred fifty-nine million, three hundred forty thousand, eight hundred".