825968443680 has 480 divisors, whose sum is σ = 3094477570800. Its totient is φ = 206762803200.

The previous prime is 825968443607. The next prime is 825968443723. The reversal of 825968443680 is 86344869528.

825968443680 is a `hidden beast` number, since 8 + 2 + 59 + 68 + 443 + 6 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 804888888336 + 21079555344 = 897156^2 + 145188^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×825968443680³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88343646 + ... + 88352994.

Almost surely, 2^825968443680 is an apocalyptic number.

825968443680 is a gapful number since it is divisible by the number (80) 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 825968443680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547238785400).

825968443680 is an abundant number, since it is smaller than the sum of its proper divisors (2268509127120).

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

825968443680 is a wasteful number, since it uses less digits than its factorization.

825968443680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9794 (or 9777 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 825968443680 in words is "eight hundred twenty-five billion, nine hundred sixty-eight million, four hundred forty-three thousand, six hundred eighty".