9993054720 has 640 divisors, whose sum is σ = 37617592320. Its totient is φ = 2238382080.

The previous prime is 9993054691. The next prime is 9993054727. The reversal of 9993054720 is 274503999.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×9993054720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9993054720.

It is not an unprimeable number, because it can be changed into a prime (9993054727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71892411 + ... + 71892549.

It is an arithmetic number, because the mean of its divisors is an integer number (58777488).

Almost surely, 2^9993054720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9993054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808796160).

9993054720 is an abundant number, since it is smaller than the sum of its proper divisors (27624537600).

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

9993054720 is a wasteful number, since it uses less digits than its factorization.

9993054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 9993054720 is about 99965.2675682909. The cubic root of 9993054720 is about 2153.9358027782.

The spelling of 9993054720 in words is "nine billion, nine hundred ninety-three million, fifty-four thousand, seven hundred twenty".