9690668236800 has 1536 divisors, whose sum is σ = 38101482777600. Its totient is φ = 2408888401920.

The previous prime is 9690668236787. The next prime is 9690668236831. The reversal of 9690668236800 is 86328660969.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21875097379 + ... + 21875097821.

It is an arithmetic number, because the mean of its divisors is an integer number (24805652850).

Almost surely, 2^{9690668236800} is an apocalyptic number.

9690668236800 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 9690668236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19050741388800).

9690668236800 is an abundant number, since it is smaller than the sum of its proper divisors (28410814540800).

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

9690668236800 is a wasteful number, since it uses less digits than its factorization.

9690668236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 9690668236800 in words is "nine trillion, six hundred ninety billion, six hundred sixty-eight million, two hundred thirty-six thousand, eight hundred".