6851186496 has 672 divisors, whose sum is σ = 26290503680. Its totient is φ = 1710720000.

The previous prime is 6851186491. The next prime is 6851186561. The reversal of 6851186496 is 6946811586.

6851186496 is a `hidden beast` number, since 6 + 8 + 511 + 86 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6851186491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45372021 + ... + 45372171.

Almost surely, 2^6851186496 is an apocalyptic number.

6851186496 is a gapful number since it is divisible by the number (66) 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 6851186496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13145251840).

6851186496 is an abundant number, since it is smaller than the sum of its proper divisors (19439317184).

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

6851186496 is a wasteful number, since it uses less digits than its factorization.

6851186496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 205 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 6851186496 is about 82771.8943603443. The cubic root of 6851186496 is about 1899.2782573569.

The spelling of 6851186496 in words is "six billion, eight hundred fifty-one million, one hundred eighty-six thousand, four hundred ninety-six".