967648842972 has 252 divisors, whose sum is σ = 2974221951568. Its totient is φ = 269718336000.

The previous prime is 967648842943. The next prime is 967648842977. The reversal of 967648842972 is 279248846769.

967648842972 is a `hidden beast` number, since 9 + 6 + 76 + 488 + 4 + 2 + 9 + 72 = 666.

967648842972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 967648842972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967648842977) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 34298472 + ... + 34326672.

Almost surely, 2^967648842972 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 967648842972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487110975784).

967648842972 is an abundant number, since it is smaller than the sum of its proper divisors (2006573108596).

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

967648842972 is a wasteful number, since it uses less digits than its factorization.

967648842972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28312 (or 28254 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 967648842972 in words is "nine hundred sixty-seven billion, six hundred forty-eight million, eight hundred forty-two thousand, nine hundred seventy-two".