968743776 has 384 divisors, whose sum is σ = 3621252096. Its totient is φ = 218234880.

The previous prime is 968743733. The next prime is 968743781. The reversal of 968743776 is 677347869.

It is a congruent number.

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, 1633336 + ... + 1633928.

It is an arithmetic number, because the mean of its divisors is an integer number (9430344).

Almost surely, 2^968743776 is an apocalyptic number.

968743776 is a gapful number since it is divisible by the number (96) 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 968743776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810626048).

968743776 is an abundant number, since it is smaller than the sum of its proper divisors (2652508320).

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

968743776 is a wasteful number, since it uses less digits than its factorization.

968743776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 646 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 57.

The square root of 968743776 is about 31124.6490100692. The cubic root of 968743776 is about 989.4707833689.

The spelling of 968743776 in words is "nine hundred sixty-eight million, seven hundred forty-three thousand, seven hundred seventy-six".