9167872896 has 768 divisors, whose sum is σ = 34930022400. Its totient is φ = 2329067520.

The previous prime is 9167872877. The next prime is 9167872991. The reversal of 9167872896 is 6982787619.

It is a super-2 number, since 2×9167872896² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116048985 + ... + 116049063.

It is an arithmetic number, because the mean of its divisors is an integer number (45481800).

Almost surely, 2^9167872896 is an apocalyptic number.

9167872896 is a gapful number since it is divisible by the number (96) 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 9167872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17465011200).

9167872896 is an abundant number, since it is smaller than the sum of its proper divisors (25762149504).

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

9167872896 is a wasteful number, since it uses less digits than its factorization.

9167872896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The square root of 9167872896 is about 95749.0098956642. The cubic root of 9167872896 is about 2092.9371869500.

The spelling of 9167872896 in words is "nine billion, one hundred sixty-seven million, eight hundred seventy-two thousand, eight hundred ninety-six".