6835351680 has 96 divisors (see below), whose sum is σ = 23603343660. Its totient is φ = 1822758912.

The previous prime is 6835351673. The next prime is 6835351693. The reversal of 6835351680 is 861535386.

6835351680 is a `hidden beast` number, since 6 + 8 + 3 + 53 + 516 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5901926976 + 933424704 = 76824^2 + 30552^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 587587 + ... + 599106.

Almost surely, 2^6835351680 is an apocalyptic number.

6835351680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6835351680 is an abundant number, since it is smaller than the sum of its proper divisors (16767991980).

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

6835351680 is a wasteful number, since it uses less digits than its factorization.

6835351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186718 (or 1186703 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6835351680 is about 82676.1856885040. The cubic root of 6835351680 is about 1897.8138919444.

The spelling of 6835351680 in words is "six billion, eight hundred thirty-five million, three hundred fifty-one thousand, six hundred eighty".