9917292672 has 432 divisors, whose sum is σ = 34615422270. Its totient is φ = 2821754880.

The previous prime is 9917292653. The next prime is 9917292673. The reversal of 9917292672 is 2762927199.

It can be written as a sum of positive squares in only one way, i.e., 7427681856 + 2489610816 = 86184^2 + 49896^2 .

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (9917292673) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41150472 + ... + 41150712.

Almost surely, 2^9917292672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9917292672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17307711135).

9917292672 is an abundant number, since it is smaller than the sum of its proper divisors (24698129598).

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

9917292672 is an frugal number, since it uses more digits than its factorization.

9917292672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 253 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The square root of 9917292672 is about 99585.6047428543. The cubic root of 9917292672 is about 2148.4786549165.

It can be divided in two parts, 99172 and 92672, that added together give a square (191844 = 438²).

The spelling of 9917292672 in words is "nine billion, nine hundred seventeen million, two hundred ninety-two thousand, six hundred seventy-two".