993597784704 has 1024 divisors, whose sum is σ = 3697145856000. Its totient is φ = 256136380416.

The previous prime is 993597784703. The next prime is 993597784741. The reversal of 993597784704 is 407487795399.

It is a super-3 number, since 3×993597784704³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (993597784703) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2707350729 + ... + 2707351095.

It is an arithmetic number, because the mean of its divisors is an integer number (3610494000).

Almost surely, 2^993597784704 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 993597784704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848572928000).

993597784704 is an abundant number, since it is smaller than the sum of its proper divisors (2703548071296).

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

993597784704 is a wasteful number, since it uses less digits than its factorization.

993597784704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 993597784704 in words is "nine hundred ninety-three billion, five hundred ninety-seven million, seven hundred eighty-four thousand, seven hundred four".