993320496000 has 1280 divisors, whose sum is σ = 4243783864320. Its totient is φ = 225566208000.

The previous prime is 993320495989. The next prime is 993320496029. The reversal of 993320496000 is 694023399.

993320496000 is a `hidden beast` number, since 9 + 9 + 3 + 32 + 0 + 4 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2023055755 + ... + 2023056245.

It is an arithmetic number, because the mean of its divisors is an integer number (3315456144).

Almost surely, 2^993320496000 is an apocalyptic number.

993320496000 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 993320496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121891932160).

993320496000 is an abundant number, since it is smaller than the sum of its proper divisors (3250463368320).

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

993320496000 is a wasteful number, since it uses less digits than its factorization.

993320496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 993320496000 in words is "nine hundred ninety-three billion, three hundred twenty million, four hundred ninety-six thousand".