993738372000 has 384 divisors, whose sum is σ = 3604478911488. Its totient is φ = 237308544000.

The previous prime is 993738371893. The next prime is 993738372017. The reversal of 993738372000 is 273837399.

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, 8787819 + ... + 8900181.

It is an arithmetic number, because the mean of its divisors is an integer number (9386663832).

Almost surely, 2^993738372000 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 993738372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802239455744).

993738372000 is an abundant number, since it is smaller than the sum of its proper divisors (2610740539488).

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

993738372000 is a wasteful number, since it uses less digits than its factorization.

993738372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112469 (or 112451 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 51.

The spelling of 993738372000 in words is "nine hundred ninety-three billion, seven hundred thirty-eight million, three hundred seventy-two thousand".