9993404160 has 648 divisors, whose sum is σ = 38268462960. Its totient is φ = 2496282624.

The previous prime is 9993404153. The next prime is 9993404171. The reversal of 9993404160 is 614043999.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-3 number, since 3×9993404160³ (a number of 31 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 112285396 + ... + 112285484.

It is an arithmetic number, because the mean of its divisors is an integer number (59056270).

Almost surely, 2^9993404160 is an apocalyptic number.

9993404160 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 9993404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19134231480).

9993404160 is an abundant number, since it is smaller than the sum of its proper divisors (28275058800).

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

9993404160 is an equidigital number, since it uses as much as digits as its factorization.

9993404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9993404160 is about 99967.0153600676. The cubic root of 9993404160 is about 2153.9609089669.

The spelling of 9993404160 in words is "nine billion, nine hundred ninety-three million, four hundred four thousand, one hundred sixty".