9993942000 has 600 divisors, whose sum is σ = 42025903920. Its totient is φ = 2282515200.

The previous prime is 9993941977. The next prime is 9993942047. The reversal of 9993942000 is 2493999.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7937371 + ... + 7938629.

Almost surely, 2^9993942000 is an apocalyptic number.

9993942000 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 9993942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012951960).

9993942000 is an abundant number, since it is smaller than the sum of its proper divisors (32031961920).

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

9993942000 is a wasteful number, since it uses less digits than its factorization.

9993942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 9993942000 is about 99969.7054111894. The cubic root of 9993942000 is about 2153.9995499724. Note that the first 3 decimals are identical.

The spelling of 9993942000 in words is "nine billion, nine hundred ninety-three million, nine hundred forty-two thousand".