967329312768 has 832 divisors, whose sum is σ = 3550086865920. Its totient is φ = 253466247168.

The previous prime is 967329312679. The next prime is 967329312799. The reversal of 967329312768 is 867213923769.

967329312768 is a `hidden beast` number, since 9 + 6 + 7 + 329 + 31 + 276 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×967329312768² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2787692371 + ... + 2787692717.

Almost surely, 2^967329312768 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 967329312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775043432960).

967329312768 is an abundant number, since it is smaller than the sum of its proper divisors (2582757553152).

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

967329312768 is a wasteful number, since it uses less digits than its factorization.

967329312768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 649 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 967329312768 in words is "nine hundred sixty-seven billion, three hundred twenty-nine million, three hundred twelve thousand, seven hundred sixty-eight".