968842353024 has 896 divisors, whose sum is σ = 3614072878080. Its totient is φ = 251763240960.

The previous prime is 968842353023. The next prime is 968842353047. The reversal of 968842353024 is 420353248869.

968842353024 is a `hidden beast` number, since 9 + 6 + 8 + 84 + 2 + 3 + 530 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968842353023) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 602888029 + ... + 602889635.

It is an arithmetic number, because the mean of its divisors is an integer number (4033563480).

Almost surely, 2^968842353024 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 968842353024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807036439040).

968842353024 is an abundant number, since it is smaller than the sum of its proper divisors (2645230525056).

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

968842353024 is a wasteful number, since it uses less digits than its factorization.

968842353024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 968842353024 in words is "nine hundred sixty-eight billion, eight hundred forty-two million, three hundred fifty-three thousand, twenty-four".