6800145767280 has 1120 divisors, whose sum is σ = 25571440465920. Its totient is φ = 1677533276160.

The previous prime is 6800145767227. The next prime is 6800145767323. The reversal of 6800145767280 is 827675410086.

6800145767280 is a `hidden beast` number, since 68 + 0 + 0 + 1 + 4 + 576 + 7 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3946688499 + ... + 3946690221.

Almost surely, 2^{6800145767280} is an apocalyptic number.

6800145767280 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 6800145767280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12785720232960).

6800145767280 is an abundant number, since it is smaller than the sum of its proper divisors (18771294698640).

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

6800145767280 is a wasteful number, since it uses less digits than its factorization.

6800145767280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 6800145767280 in words is "six trillion, eight hundred billion, one hundred forty-five million, seven hundred sixty-seven thousand, two hundred eighty".