42868269173680 has 320 divisors, whose sum is σ = 106093682426880. Its totient is φ = 16074654216192.

The previous prime is 42868269173663. The next prime is 42868269173729. The reversal of 42868269173680 is 8637196286824.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33569513202 + ... + 33569514478.

It is an arithmetic number, because the mean of its divisors is an integer number (331542757584).

Almost surely, 2^{42868269173680} is an apocalyptic number.

42868269173680 is a gapful number since it is divisible by the number (40) 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 42868269173680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53046841213440).

42868269173680 is an abundant number, since it is smaller than the sum of its proper divisors (63225413253200).

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

42868269173680 is a wasteful number, since it uses less digits than its factorization.

42868269173680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 70.

The spelling of 42868269173680 in words is "forty-two trillion, eight hundred sixty-eight billion, two hundred sixty-nine million, one hundred seventy-three thousand, six hundred eighty".