6835680144 has 240 divisors, whose sum is σ = 20976014592. Its totient is φ = 2069286912.

The previous prime is 6835680121. The next prime is 6835680151. The reversal of 6835680144 is 4410865386.

6835680144 is a `hidden beast` number, since 6 + 83 + 568 + 0 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6835680144.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14763657 + ... + 14764119.

Almost surely, 2^6835680144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6835680144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10488007296).

6835680144 is an abundant number, since it is smaller than the sum of its proper divisors (14140334448).

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

6835680144 is a wasteful number, since it uses less digits than its factorization.

6835680144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6835680144 is about 82678.1721133214. The cubic root of 6835680144 is about 1897.8442904562.

The spelling of 6835680144 in words is "six billion, eight hundred thirty-five million, six hundred eighty thousand, one hundred forty-four".