967687372080 has 2240 divisors, whose sum is σ = 4328002990080. Its totient is φ = 197522841600.

The previous prime is 967687372079. The next prime is 967687372133. The reversal of 967687372080 is 80273786769.

967687372080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 967687371999 and 967687372017.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 4912118542 + ... + 4912118738.

It is an arithmetic number, because the mean of its divisors is an integer number (1932144192).

Almost surely, 2^967687372080 is an apocalyptic number.

967687372080 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 967687372080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164001495040).

967687372080 is an abundant number, since it is smaller than the sum of its proper divisors (3360315618000).

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

967687372080 is a wasteful number, since it uses less digits than its factorization.

967687372080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 967687372080 in words is "nine hundred sixty-seven billion, six hundred eighty-seven million, three hundred seventy-two thousand, eighty".