963680796288 has 512 divisors, whose sum is σ = 3591392256000. Its totient is φ = 247871619072.

The previous prime is 963680796277. The next prime is 963680796313. The reversal of 963680796288 is 882697086369.

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

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, 9408133 + ... + 9510011.

It is an arithmetic number, because the mean of its divisors is an integer number (7014438000).

Almost surely, 2^963680796288 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 963680796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795696128000).

963680796288 is an abundant number, since it is smaller than the sum of its proper divisors (2627711459712).

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

963680796288 is a wasteful number, since it uses less digits than its factorization.

963680796288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101949 (or 101931 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 963680796288 in words is "nine hundred sixty-three billion, six hundred eighty million, seven hundred ninety-six thousand, two hundred eighty-eight".