9967643136 has 480 divisors, whose sum is σ = 33307243200. Its totient is φ = 2939904000.

The previous prime is 9967643123. The next prime is 9967643159. The reversal of 9967643136 is 6313467699.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98689486 + ... + 98689586.

It is an arithmetic number, because the mean of its divisors is an integer number (69390090).

Almost surely, 2^9967643136 is an apocalyptic number.

9967643136 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 9967643136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16653621600).

9967643136 is an abundant number, since it is smaller than the sum of its proper divisors (23339600064).

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

9967643136 is a wasteful number, since it uses less digits than its factorization.

9967643136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 176 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 9967643136 is about 99838.0845970114. The cubic root of 9967643136 is about 2152.1084875956.

The spelling of 9967643136 in words is "nine billion, nine hundred sixty-seven million, six hundred forty-three thousand, one hundred thirty-six".