9993699273600 has 864 divisors, whose sum is σ = 41513315243400. Its totient is φ = 2282540359680.

The previous prime is 9993699273581. The next prime is 9993699273647. The reversal of 9993699273600 is 63729963999.

9993699273600 is a `hidden beast` number, since 9 + 9 + 9 + 3 + 6 + 9 + 9 + 2 + 7 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3258459267 + ... + 3258462333.

Almost surely, 2^{9993699273600} is an apocalyptic number.

9993699273600 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 9993699273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756657621700).

9993699273600 is an abundant number, since it is smaller than the sum of its proper divisors (31519615969800).

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

9993699273600 is a wasteful number, since it uses less digits than its factorization.

9993699273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 267846264, while the sum is 72.

The spelling of 9993699273600 in words is "nine trillion, nine hundred ninety-three billion, six hundred ninety-nine million, two hundred seventy-three thousand, six hundred".