968744883456 has 540 divisors, whose sum is σ = 3368505393792. Its totient is φ = 276103489536.

The previous prime is 968744883427. The next prime is 968744883479. The reversal of 968744883456 is 654388447869.

968744883456 is a `hidden beast` number, since 9 + 68 + 7 + 4 + 488 + 34 + 56 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 531400561 + ... + 531402383.

Almost surely, 2^968744883456 is an apocalyptic number.

968744883456 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 968744883456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684252696896).

968744883456 is an abundant number, since it is smaller than the sum of its proper divisors (2399760510336).

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

968744883456 is a wasteful number, since it uses less digits than its factorization.

968744883456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2358 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 968744883456 in words is "nine hundred sixty-eight billion, seven hundred forty-four million, eight hundred eighty-three thousand, four hundred fifty-six".