968287639104 has 280 divisors, whose sum is σ = 2950936074240. Its totient is φ = 313714197504.

The previous prime is 968287639079. The next prime is 968287639117. The reversal of 968287639104 is 401936782869.

968287639104 is a `hidden beast` number, since 96 + 82 + 87 + 6 + 391 + 0 + 4 = 666.

It is a super-3 number, since 3×968287639104³ (a number of 37 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 245320459 + ... + 245324405.

It is an arithmetic number, because the mean of its divisors is an integer number (10539057408).

Almost surely, 2^968287639104 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 968287639104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475468037120).

968287639104 is an abundant number, since it is smaller than the sum of its proper divisors (1982648435136).

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

968287639104 is a wasteful number, since it uses less digits than its factorization.

968287639104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 968287639104 in words is "nine hundred sixty-eight billion, two hundred eighty-seven million, six hundred thirty-nine thousand, one hundred four".