9939936384000 has 2112 divisors, whose sum is σ = 43117361344512. Its totient is φ = 2236502016000.

The previous prime is 9939936383983. The next prime is 9939936384019. The reversal of 9939936384000 is 4836399399.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15458687679 + ... + 15458688321.

Almost surely, 2^{9939936384000} is an apocalyptic number.

9939936384000 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 9939936384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21558680672256).

9939936384000 is an abundant number, since it is smaller than the sum of its proper divisors (33177424960512).

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

9939936384000 is an equidigital number, since it uses as much as digits as its factorization.

9939936384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 63.

The spelling of 9939936384000 in words is "nine trillion, nine hundred thirty-nine billion, nine hundred thirty-six million, three hundred eighty-four thousand".