6856732458 has 96 divisors (see below), whose sum is σ = 15990374400. Its totient is φ = 2199772080.

The previous prime is 6856732433. The next prime is 6856732459. The reversal of 6856732458 is 8542376586.

6856732458 is a `hidden beast` number, since 6 + 8 + 567 + 3 + 24 + 58 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6856732459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2996991 + ... + 2999277.

It is an arithmetic number, because the mean of its divisors is an integer number (166566400).

Almost surely, 2^6856732458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6856732458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995187200).

6856732458 is an abundant number, since it is smaller than the sum of its proper divisors (9133641942).

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

6856732458 is a wasteful number, since it uses less digits than its factorization.

6856732458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2522 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 6856732458 is about 82805.3890637560. The cubic root of 6856732458 is about 1899.7906009304.

It can be divided in two parts, 68567 and 32458, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 6856732458 in words is "six billion, eight hundred fifty-six million, seven hundred thirty-two thousand, four hundred fifty-eight".