968685363648 has 336 divisors, whose sum is σ = 3009541860000. Its totient is φ = 296854585344.

The previous prime is 968685363641. The next prime is 968685363661. The reversal of 968685363648 is 846363586869.

968685363648 is a `hidden beast` number, since 9 + 6 + 86 + 8 + 536 + 3 + 6 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968685363641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165612628 + ... + 165618476.

Almost surely, 2^968685363648 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 968685363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504770930000).

968685363648 is an abundant number, since it is smaller than the sum of its proper divisors (2040856496352).

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

968685363648 is a wasteful number, since it uses less digits than its factorization.

968685363648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332 (or 6319 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 968685363648 in words is "nine hundred sixty-eight billion, six hundred eighty-five million, three hundred sixty-three thousand, six hundred forty-eight".