6808531070880 has 768 divisors, whose sum is σ = 29923897651200. Its totient is φ = 1404572037120.

The previous prime is 6808531070743. The next prime is 6808531070881. The reversal of 6808531070880 is 880701358086.

It is a happy number.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (6808531070881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46163334 + ... + 46310586.

It is an arithmetic number, because the mean of its divisors is an integer number (38963408400).

Almost surely, 2^{6808531070880} is an apocalyptic number.

6808531070880 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 6808531070880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14961948825600).

6808531070880 is an abundant number, since it is smaller than the sum of its proper divisors (23115366580320).

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

6808531070880 is a wasteful number, since it uses less digits than its factorization.

6808531070880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147434 (or 147420 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 6808531070880 in words is "six trillion, eight hundred eight billion, five hundred thirty-one million, seventy thousand, eight hundred eighty".