880068426209280 has 7680 divisors, whose sum is σ = 4339299444480000. Its totient is φ = 169021027123200.

The previous prime is 880068426209263. The next prime is 880068426209303. The reversal of 880068426209280 is 82902624860088.

It is a tau number, because it is divible by the number of its divisors (7680).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 21465083566060 + ... + 21465083566100.

It is an arithmetic number, because the mean of its divisors is an integer number (565012948500).

Almost surely, 2^{880068426209280} is an apocalyptic number.

880068426209280 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 880068426209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169649722240000).

880068426209280 is an abundant number, since it is smaller than the sum of its proper divisors (3459231018270720).

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

880068426209280 is an equidigital number, since it uses as much as digits as its factorization.

880068426209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 880068426209280 in words is "eight hundred eighty trillion, sixty-eight billion, four hundred twenty-six million, two hundred nine thousand, two hundred eighty".