967693882320 has 320 divisors, whose sum is σ = 3638668896000. Its totient is φ = 234432092160.

The previous prime is 967693882301. The next prime is 967693882321. The reversal of 967693882320 is 23288396769.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967693882321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36791094 + ... + 36817386.

It is an arithmetic number, because the mean of its divisors is an integer number (11370840300).

Almost surely, 2^967693882320 is an apocalyptic number.

967693882320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967693882320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819334448000).

967693882320 is an abundant number, since it is smaller than the sum of its proper divisors (2670975013680).

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

967693882320 is a wasteful number, since it uses less digits than its factorization.

967693882320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27875 (or 27863 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 967693882320 in words is "nine hundred sixty-seven billion, six hundred ninety-three million, eight hundred eighty-two thousand, three hundred twenty".