9993512340 has 144 divisors (see below), whose sum is σ = 34704633600. Its totient is φ = 2280245760.

The previous prime is 9993512311. The next prime is 9993512371. The reversal of 9993512340 is 432153999.

9993512340 is a `hidden beast` number, since 9 + 9 + 93 + 512 + 3 + 40 = 666.

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 47 ways as a sum of consecutive naturals, for example, 748120 + ... + 761360.

It is an arithmetic number, because the mean of its divisors is an integer number (241004400).

Almost surely, 2^9993512340 is an apocalyptic number.

9993512340 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 9993512340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352316800).

9993512340 is an abundant number, since it is smaller than the sum of its proper divisors (24711121260).

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

9993512340 is a wasteful number, since it uses less digits than its factorization.

9993512340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13862 (or 13857 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 9993512340 is about 99967.5564370761. The cubic root of 9993512340 is about 2153.9686812484.

The spelling of 9993512340 in words is "nine billion, nine hundred ninety-three million, five hundred twelve thousand, three hundred forty".