968940905688 has 384 divisors, whose sum is σ = 3287716024320. Its totient is φ = 251399946240.

The previous prime is 968940905633. The next prime is 968940905717. The reversal of 968940905688 is 886509049869.

968940905688 is a `hidden beast` number, since 96 + 8 + 9 + 409 + 0 + 56 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92160720 + ... + 92171232.

It is an arithmetic number, because the mean of its divisors is an integer number (8561760480).

Almost surely, 2^968940905688 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 968940905688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643858012160).

968940905688 is an abundant number, since it is smaller than the sum of its proper divisors (2318775118632).

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

968940905688 is a wasteful number, since it uses less digits than its factorization.

968940905688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10927 (or 10920 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 968940905688 in words is "nine hundred sixty-eight billion, nine hundred forty million, nine hundred five thousand, six hundred eighty-eight".