868416417792 has 1248 divisors, whose sum is σ = 3297327022080. Its totient is φ = 213663744000.

The previous prime is 868416417707. The next prime is 868416417871. The reversal of 868416417792 is 297714614868.

868416417792 is a `hidden beast` number, since 8 + 68 + 416 + 4 + 1 + 77 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6247600059 + ... + 6247600197.

It is an arithmetic number, because the mean of its divisors is an integer number (2642088960).

Almost surely, 2^868416417792 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 868416417792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648663511040).

868416417792 is an abundant number, since it is smaller than the sum of its proper divisors (2428910604288).

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

868416417792 is a wasteful number, since it uses less digits than its factorization.

868416417792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 868416417792 in words is "eight hundred sixty-eight billion, four hundred sixteen million, four hundred seventeen thousand, seven hundred ninety-two".