9090332697600 has 3960 divisors, whose sum is σ = 44806364298432. Its totient is φ = 1768764211200.

The previous prime is 9090332697587. The next prime is 9090332697601. The reversal of 9090332697600 is 67962330909.

It is a happy number.

9090332697600 is a `hidden beast` number, since 9 + 0 + 9 + 0 + 3 + 3 + 26 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9090332697601) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 46143820702 + ... + 46143820898.

Almost surely, 2^{9090332697600} is an apocalyptic number.

9090332697600 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 9090332697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22403182149216).

9090332697600 is an abundant number, since it is smaller than the sum of its proper divisors (35716031600832).

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

9090332697600 is a wasteful number, since it uses less digits than its factorization.

9090332697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The spelling of 9090332697600 in words is "nine trillion, ninety billion, three hundred thirty-two million, six hundred ninety-seven thousand, six hundred".