967663875360 has 384 divisors, whose sum is σ = 3880927572480. Its totient is φ = 197125963776.

The previous prime is 967663875203. The next prime is 967663875401. The reversal of 967663875360 is 63578366769.

It is a junction number, because it is equal to n+sod(n) for n = 967663875291 and 967663875300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 884764 + ... + 1648676.

It is an arithmetic number, because the mean of its divisors is an integer number (10106582220).

Almost surely, 2^967663875360 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 967663875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940463786240).

967663875360 is an abundant number, since it is smaller than the sum of its proper divisors (2913263697120).

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

967663875360 is a wasteful number, since it uses less digits than its factorization.

967663875360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763980 (or 763972 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 66.

The spelling of 967663875360 in words is "nine hundred sixty-seven billion, six hundred sixty-three million, eight hundred seventy-five thousand, three hundred sixty".