9967951364 has 12 divisors (see below), whose sum is σ = 19935902784. Its totient is φ = 4271979144.

The previous prime is 9967951363. The next prime is 9967951387. The reversal of 9967951364 is 4631597699.

9967951364 is an admirable number.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9967951363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 177999104 + ... + 177999159.

It is an arithmetic number, because the mean of its divisors is an integer number (1661325232).

Almost surely, 2^9967951364 is an apocalyptic number.

It is an amenable number.

9967951364 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

9967951364 is a wasteful number, since it uses less digits than its factorization.

9967951364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355998274 (or 355998272 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 59.

The square root of 9967951364 is about 99839.6282244681. The cubic root of 9967951364 is about 2152.1306704811.

The spelling of 9967951364 in words is "nine billion, nine hundred sixty-seven million, nine hundred fifty-one thousand, three hundred sixty-four".