9885867264 has 720 divisors, whose sum is σ = 37672391680. Its totient is φ = 2523156480.

The previous prime is 9885867239. The next prime is 9885867301. The reversal of 9885867264 is 4627685889.

It is a super-2 number, since 2×9885867264² (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).

Its product of digits (46448640) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 318898929 + ... + 318898959.

Almost surely, 2^9885867264 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 9885867264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18836195840).

9885867264 is an abundant number, since it is smaller than the sum of its proper divisors (27786524416).

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

9885867264 is an equidigital number, since it uses as much as digits as its factorization.

9885867264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 56 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The square root of 9885867264 is about 99427.6986759726. The cubic root of 9885867264 is about 2146.2069240802.

The spelling of 9885867264 in words is "nine billion, eight hundred eighty-five million, eight hundred sixty-seven thousand, two hundred sixty-four".