993720000 has 630 divisors, whose sum is σ = 4138478388. Its totient is φ = 209664000.

The previous prime is 993719983. The next prime is 993720017. The reversal of 993720000 is 27399.

It is an interprime number because it is at equal distance from previous prime (993719983) and next prime (993720017).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 993720000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 76439994 + ... + 76440006.

Almost surely, 2^993720000 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 993720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069239194).

993720000 is an abundant number, since it is smaller than the sum of its proper divisors (3144758388).

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

993720000 is a wasteful number, since it uses less digits than its factorization.

993720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 993720000 is about 31523.3246977536. The cubic root of 993720000 is about 997.9022692695.

Adding to 993720000 its reverse (27399), we get a palindrome (993747399).

The spelling of 993720000 in words is "nine hundred ninety-three million, seven hundred twenty thousand".