9972668160 has 1080 divisors, whose sum is σ = 44999117856. Its totient is φ = 2090188800.

The previous prime is 9972668137. The next prime is 9972668171. The reversal of 9972668160 is 618662799.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×9972668160² (a number of 21 digits) contains 22 as substring.

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 = 9972668097 and 9972668106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66044085 + ... + 66044235.

Almost surely, 2^9972668160 is an apocalyptic number.

9972668160 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 9972668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22499558928).

9972668160 is an abundant number, since it is smaller than the sum of its proper divisors (35026449696).

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

9972668160 is a wasteful number, since it uses less digits than its factorization.

9972668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 9972668160 is about 99863.2472934863. The cubic root of 9972668160 is about 2152.4700769189.

The spelling of 9972668160 in words is "nine billion, nine hundred seventy-two million, six hundred sixty-eight thousand, one hundred sixty".