968613085440 has 4032 divisors, whose sum is σ = 5026385290752. Its totient is φ = 171992678400.

The previous prime is 968613085439. The next prime is 968613085471. The reversal of 968613085440 is 44580316869.

968613085440 is a `hidden beast` number, since 9 + 6 + 8 + 61 + 30 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×968613085440² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 15878903010 + ... + 15878903070.

It is an arithmetic number, because the mean of its divisors is an integer number (1246623336).

Almost surely, 2^968613085440 is an apocalyptic number.

968613085440 is a gapful number since it is divisible by the number (90) 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 968613085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513192645376).

968613085440 is an abundant number, since it is smaller than the sum of its proper divisors (4057772205312).

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

968613085440 is a wasteful number, since it uses less digits than its factorization.

968613085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 968613085440 in words is "nine hundred sixty-eight billion, six hundred thirteen million, eighty-five thousand, four hundred forty".