6905305408482 has 128 divisors (see below), whose sum is σ = 17279446302720. Its totient is φ = 2028155215680.

The previous prime is 6905305408387. The next prime is 6905305408493. The reversal of 6905305408482 is 2848045035096.

6905305408482 is a `hidden beast` number, since 6 + 9 + 0 + 53 + 0 + 540 + 8 + 48 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7424007 + ... + 8302197.

It is an arithmetic number, because the mean of its divisors is an integer number (134995674240).

Almost surely, 2^{6905305408482} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6905305408482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8639723151360).

6905305408482 is an abundant number, since it is smaller than the sum of its proper divisors (10374140894238).

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

6905305408482 is a wasteful number, since it uses less digits than its factorization.

6905305408482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878725 (or 878719 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 6905305408482 in words is "six trillion, nine hundred five billion, three hundred five million, four hundred eight thousand, four hundred eighty-two".