6856509040 has 40 divisors (see below), whose sum is σ = 15964255008. Its totient is φ = 2738668800.

The previous prime is 6856509031. The next prime is 6856509053. The reversal of 6856509040 is 409056586.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5052 + ... + 117211.

Almost surely, 2^6856509040 is an apocalyptic number.

It is an amenable number.

6856509040 is an abundant number, since it is smaller than the sum of its proper divisors (9107745968).

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

6856509040 is a wasteful number, since it uses less digits than its factorization.

6856509040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122977 (or 122971 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 6856509040 is about 82804.0399980581. The cubic root of 6856509040 is about 1899.7699666108.

The spelling of 6856509040 in words is "six billion, eight hundred fifty-six million, five hundred nine thousand, forty".