967365162120 has 64 divisors (see below), whose sum is σ = 3316680558720. Its totient is φ = 221112036864.

The previous prime is 967365162103. The next prime is 967365162121. The reversal of 967365162120 is 21261563769.

967365162120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 967365162120.

It is not an unprimeable number, because it can be changed into a prime (967365162121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575811757 + ... + 575813436.

It is an arithmetic number, because the mean of its divisors is an integer number (51823133730).

Almost surely, 2^967365162120 is an apocalyptic number.

It is an amenable number.

967365162120 is an abundant number, since it is smaller than the sum of its proper divisors (2349315396600).

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

967365162120 is a wasteful number, since it uses less digits than its factorization.

967365162120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151625214 (or 1151625210 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 967365162120 in words is "nine hundred sixty-seven billion, three hundred sixty-five million, one hundred sixty-two thousand, one hundred twenty".