967103679360 has 1024 divisors, whose sum is σ = 3920552294400. Its totient is φ = 197313822720.

The previous prime is 967103679337. The next prime is 967103679361. The reversal of 967103679360 is 63976301769.

It is a self number, because there is not a number n which added to its sum of digits gives 967103679360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967103679361) 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 127 ways as a sum of consecutive naturals, for example, 1364038686 + ... + 1364039394.

It is an arithmetic number, because the mean of its divisors is an integer number (3828664350).

Almost surely, 2^967103679360 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 967103679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960276147200).

967103679360 is an abundant number, since it is smaller than the sum of its proper divisors (2953448615040).

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

967103679360 is a wasteful number, since it uses less digits than its factorization.

967103679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 57.

The spelling of 967103679360 in words is "nine hundred sixty-seven billion, one hundred three million, six hundred seventy-nine thousand, three hundred sixty".