967700767968 has 288 divisors, whose sum is σ = 3160927476000. Its totient is φ = 287708129280.

The previous prime is 967700767967. The next prime is 967700767987. The reversal of 967700767968 is 869767007769.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 967700767896 and 967700767905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967700767967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5453508 + ... + 5628156.

It is an arithmetic number, because the mean of its divisors is an integer number (10975442625).

Almost surely, 2^967700767968 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 967700767968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580463738000).

967700767968 is an abundant number, since it is smaller than the sum of its proper divisors (2193226708032).

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

967700767968 is a wasteful number, since it uses less digits than its factorization.

967700767968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174743 (or 174718 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 72.

The spelling of 967700767968 in words is "nine hundred sixty-seven billion, seven hundred million, seven hundred sixty-seven thousand, nine hundred sixty-eight".