993700945920 has 224 divisors, whose sum is σ = 3182370226560. Its totient is φ = 264760197120.

The previous prime is 993700945907. The next prime is 993700945931. The reversal of 993700945920 is 29549007399.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182965605 + ... + 182971035.

It is an arithmetic number, because the mean of its divisors is an integer number (14207009940).

Almost surely, 2^993700945920 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 993700945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591185113280).

993700945920 is an abundant number, since it is smaller than the sum of its proper divisors (2188669280640).

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

993700945920 is a wasteful number, since it uses less digits than its factorization.

993700945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6954 (or 6930 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 57.

The spelling of 993700945920 in words is "nine hundred ninety-three billion, seven hundred million, nine hundred forty-five thousand, nine hundred twenty".