6856362240 has 432 divisors, whose sum is σ = 27441828288. Its totient is φ = 1446100992.

The previous prime is 6856362221. The next prime is 6856362263. The reversal of 6856362240 is 422636586.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6856362192 and 6856362201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2444679 + ... + 2447481.

Almost surely, 2^6856362240 is an apocalyptic number.

6856362240 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 6856362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13720914144).

6856362240 is an abundant number, since it is smaller than the sum of its proper divisors (20585466048).

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

6856362240 is a wasteful number, since it uses less digits than its factorization.

6856362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 6856362240 is about 82803.1535631343. The cubic root of 6856362240 is about 1899.7564082912.

The spelling of 6856362240 in words is "six billion, eight hundred fifty-six million, three hundred sixty-two thousand, two hundred forty".