68800852673280 has 3456 divisors, whose sum is σ = 322136309913600. Its totient is φ = 13734045351936.

The previous prime is 68800852673279. The next prime is 68800852673291. The reversal of 68800852673280 is 8237625800886.

68800852673280 is a `hidden beast` number, since 6 + 8 + 80 + 0 + 8 + 526 + 7 + 3 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

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 383 ways as a sum of consecutive naturals, for example, 90886198662 + ... + 90886199418.

Almost surely, 2^{68800852673280} is an apocalyptic number.

68800852673280 is a gapful number since it is divisible by the number (60) 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 68800852673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161068154956800).

68800852673280 is an abundant number, since it is smaller than the sum of its proper divisors (253335457240320).

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

68800852673280 is an equidigital number, since it uses as much as digits as its factorization.

68800852673280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 68800852673280 in words is "sixty-eight trillion, eight hundred billion, eight hundred fifty-two million, six hundred seventy-three thousand, two hundred eighty".