6875852417280 has 3240 divisors, whose sum is σ = 32453064693504. Its totient is φ = 1382659891200.

The previous prime is 6875852417279. The next prime is 6875852417321. The reversal of 6875852417280 is 827142585786.

6875852417280 is a `hidden beast` number, since 6 + 8 + 7 + 585 + 2 + 41 + 7 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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 (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 221801690865 + ... + 221801690895.

Almost surely, 2^{6875852417280} is an apocalyptic number.

6875852417280 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 6875852417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16226532346752).

6875852417280 is an abundant number, since it is smaller than the sum of its proper divisors (25577212276224).

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

6875852417280 is an frugal number, since it uses more digits than its factorization.

6875852417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 6875852417280 in words is "six trillion, eight hundred seventy-five billion, eight hundred fifty-two million, four hundred seventeen thousand, two hundred eighty".