963287798760 has 1792 divisors, whose sum is σ = 4061469081600. Its totient is φ = 200882073600.

The previous prime is 963287798743. The next prime is 963287798773. The reversal of 963287798760 is 67897782369.

963287798760 is a `hidden beast` number, since 96 + 328 + 77 + 98 + 7 + 60 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 447 ways as a sum of consecutive naturals, for example, 12193516401 + ... + 12193516479.

It is an arithmetic number, because the mean of its divisors is an integer number (2266444800).

Almost surely, 2^963287798760 is an apocalyptic number.

963287798760 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 963287798760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030734540800).

963287798760 is an abundant number, since it is smaller than the sum of its proper divisors (3098181282840).

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

963287798760 is a wasteful number, since it uses less digits than its factorization.

963287798760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 963287798760 in words is "nine hundred sixty-three billion, two hundred eighty-seven million, seven hundred ninety-eight thousand, seven hundred sixty".