6862746816 has 112 divisors (see below), whose sum is σ = 20198181600. Its totient is φ = 2284978176.

The previous prime is 6862746773. The next prime is 6862746823. The reversal of 6862746816 is 6186472686.

6862746816 is a `hidden beast` number, since 6 + 8 + 627 + 4 + 6 + 8 + 1 + 6 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 2059840 + ... + 2063168.

Almost surely, 2^6862746816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6862746816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10099090800).

6862746816 is an abundant number, since it is smaller than the sum of its proper divisors (13335434784).

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

6862746816 is a wasteful number, since it uses less digits than its factorization.

6862746816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4527 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 6862746816 is about 82841.6973268897. The cubic root of 6862746816 is about 1900.3459034126.

The spelling of 6862746816 in words is "six billion, eight hundred sixty-two million, seven hundred forty-six thousand, eight hundred sixteen".