9867064032 has 384 divisors, whose sum is σ = 34749388800. Its totient is φ = 2662944768.

The previous prime is 9867064019. The next prime is 9867064033. The reversal of 9867064032 is 2304607689.

It is a super-2 number, since 2×9867064032² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9867064033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12379858 + ... + 12380654.

It is an arithmetic number, because the mean of its divisors is an integer number (90493200).

Almost surely, 2^9867064032 is an apocalyptic number.

9867064032 is a gapful number since it is divisible by the number (92) 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 9867064032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374694400).

9867064032 is an abundant number, since it is smaller than the sum of its proper divisors (24882324768).

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

9867064032 is a wasteful number, since it uses less digits than its factorization.

9867064032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 9867064032 is about 99333.0963576592. The cubic root of 9867064032 is about 2144.8453426563.

The spelling of 9867064032 in words is "nine billion, eight hundred sixty-seven million, sixty-four thousand, thirty-two".