9993345062400 has 5760 divisors, whose sum is σ = 49868058240000. Its totient is φ = 1966449623040.

The previous prime is 9993345062377. The next prime is 9993345062443. The reversal of 9993345062400 is 42605433999.

9993345062400 is a `hidden beast` number, since 9 + 9 + 9 + 3 + 3 + 4 + 5 + 0 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 344598105586 + ... + 344598105614.

It is an arithmetic number, because the mean of its divisors is an integer number (8657649000).

Almost surely, 2^{9993345062400} is an apocalyptic number.

9993345062400 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 9993345062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24934029120000).

9993345062400 is an abundant number, since it is smaller than the sum of its proper divisors (39874713177600).

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

9993345062400 is a wasteful number, since it uses less digits than its factorization.

9993345062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 9993345062400 in words is "nine trillion, nine hundred ninety-three billion, three hundred forty-five million, sixty-two thousand, four hundred".