9993295872 has 288 divisors, whose sum is σ = 33469057440. Its totient is φ = 2813460480.

The previous prime is 9993295867. The next prime is 9993295877. The reversal of 9993295872 is 2785923999.

It is an interprime number because it is at equal distance from previous prime (9993295867) and next prime (9993295877).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9993295877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9418222 + ... + 9419282.

It is an arithmetic number, because the mean of its divisors is an integer number (116212005).

Almost surely, 2^9993295872 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 9993295872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16734528720).

9993295872 is an abundant number, since it is smaller than the sum of its proper divisors (23475761568).

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

9993295872 is a wasteful number, since it uses less digits than its factorization.

9993295872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1146 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The square root of 9993295872 is about 99966.4737399494. The cubic root of 9993295872 is about 2153.9531288699.

The spelling of 9993295872 in words is "nine billion, nine hundred ninety-three million, two hundred ninety-five thousand, eight hundred seventy-two".