967982784000 has 640 divisors, whose sum is σ = 3390721551360. Its totient is φ = 244518912000.

The previous prime is 967982783993. The next prime is 967982784017. The reversal of 967982784000 is 487289769.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 481342995 + ... + 481345005.

It is an arithmetic number, because the mean of its divisors is an integer number (5298002424).

Almost surely, 2^967982784000 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 967982784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695360775680).

967982784000 is an abundant number, since it is smaller than the sum of its proper divisors (2422738767360).

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

967982784000 is a wasteful number, since it uses less digits than its factorization.

967982784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 967982784000 in words is "nine hundred sixty-seven billion, nine hundred eighty-two million, seven hundred eighty-four thousand".