968504884623360 has 3456 divisors, whose sum is σ = 4281348213192960. Its totient is φ = 201069548273664.

The previous prime is 968504884623359. The next prime is 968504884623371. The reversal of 968504884623360 is 63326488405869.

968504884623360 is a `hidden beast` number, since 9 + 6 + 8 + 50 + 4 + 88 + 462 + 3 + 36 + 0 = 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 (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 263395397842 + ... + 263395401518.

It is an arithmetic number, because the mean of its divisors is an integer number (1238816033910).

Almost surely, 2^{968504884623360} is an apocalyptic number.

968504884623360 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 968504884623360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140674106596480).

968504884623360 is an abundant number, since it is smaller than the sum of its proper divisors (3312843328569600).

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

968504884623360 is a wasteful number, since it uses less digits than its factorization.

968504884623360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 1433272320, while the sum is 72.

The spelling of 968504884623360 in words is "nine hundred sixty-eight trillion, five hundred four billion, eight hundred eighty-four million, six hundred twenty-three thousand, three hundred sixty".