9955743693840 has 320 divisors, whose sum is σ = 39266117521920. Its totient is φ = 2271229009920.

The previous prime is 9955743693823. The next prime is 9955743693851. The reversal of 9955743693840 is 483963475599.

9955743693840 is a `hidden beast` number, since 9 + 9 + 5 + 574 + 3 + 6 + 9 + 3 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 7245612 + ... + 8509428.

It is an arithmetic number, because the mean of its divisors is an integer number (122706617256).

Almost surely, 2^{9955743693840} is an apocalyptic number.

9955743693840 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 9955743693840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19633058760960).

9955743693840 is an abundant number, since it is smaller than the sum of its proper divisors (29310373828080).

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

9955743693840 is a wasteful number, since it uses less digits than its factorization.

9955743693840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264367 (or 1264355 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 9955743693840 in words is "nine trillion, nine hundred fifty-five billion, seven hundred forty-three million, six hundred ninety-three thousand, eight hundred forty".