967646767990464 has 280 divisors, whose sum is σ = 3020907961819440. Its totient is φ = 305417725065216.

The previous prime is 967646767990439. The next prime is 967646767990471. The reversal of 967646767990464 is 464099767646769.

967646767990464 is a `hidden beast` number, since 9 + 6 + 7 + 6 + 4 + 6 + 76 + 79 + 9 + 0 + 464 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 191842942 + ... + 196822274.

It is an arithmetic number, because the mean of its divisors is an integer number (10788957006498).

Almost surely, 2^{967646767990464} 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 967646767990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510453980909720).

967646767990464 is an abundant number, since it is smaller than the sum of its proper divisors (2053261193828976).

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

967646767990464 is a wasteful number, since it uses less digits than its factorization.

967646767990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4981349 (or 4981330 counting only the distinct ones).

The product of its (nonzero) digits is 124439390208, while the sum is 90.

The spelling of 967646767990464 in words is "nine hundred sixty-seven trillion, six hundred forty-six billion, seven hundred sixty-seven million, nine hundred ninety thousand, four hundred sixty-four".