993974353920 has 1088 divisors, whose sum is σ = 3817626374400. Its totient is φ = 247669456896.

The previous prime is 993974353859. The next prime is 993974353943. The reversal of 993974353920 is 29353479399.

993974353920 is a `hidden beast` number, since 9 + 9 + 3 + 9 + 74 + 3 + 539 + 20 = 666.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 13616087004 + ... + 13616087076.

Almost surely, 2^993974353920 is an apocalyptic number.

993974353920 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 993974353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908813187200).

993974353920 is an abundant number, since it is smaller than the sum of its proper divisors (2823652020480).

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

993974353920 is an frugal number, since it uses more digits than its factorization.

993974353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 49601160, while the sum is 63.

The spelling of 993974353920 in words is "nine hundred ninety-three billion, nine hundred seventy-four million, three hundred fifty-three thousand, nine hundred twenty".