993302768640 has 704 divisors, whose sum is σ = 3965643601920. Its totient is φ = 206603550720.

The previous prime is 993302768629. The next prime is 993302768657. The reversal of 993302768640 is 46867203399.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99235956 + ... + 99245964.

It is an arithmetic number, because the mean of its divisors is an integer number (5633016480).

Almost surely, 2^993302768640 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 993302768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982821800960).

993302768640 is an abundant number, since it is smaller than the sum of its proper divisors (2972340833280).

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

993302768640 is a wasteful number, since it uses less digits than its factorization.

993302768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 993302768640 in words is "nine hundred ninety-three billion, three hundred two million, seven hundred sixty-eight thousand, six hundred forty".