9955344960 has 672 divisors, whose sum is σ = 39951964800. Its totient is φ = 2314137600.

The previous prime is 9955344943. The next prime is 9955344967. The reversal of 9955344960 is 694435599.

9955344960 is a `hidden beast` number, since 9 + 9 + 5 + 534 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9955344897 and 9955344906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9955344967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91333386 + ... + 91333494.

Almost surely, 2^9955344960 is an apocalyptic number.

9955344960 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 9955344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975982400).

9955344960 is an abundant number, since it is smaller than the sum of its proper divisors (29996619840).

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

9955344960 is a wasteful number, since it uses less digits than its factorization.

9955344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The square root of 9955344960 is about 99776.4749828335. The cubic root of 9955344960 is about 2151.2230258022.

The spelling of 9955344960 in words is "nine billion, nine hundred fifty-five million, three hundred forty-four thousand, nine hundred sixty".