6866742144 has 32 divisors (see below), whose sum is σ = 18239784840. Its totient is φ = 2288913920.

The previous prime is 6866742143. The next prime is 6866742151. The reversal of 6866742144 is 4412476686.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6866742093 and 6866742102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6866742143) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8940687 + ... + 8941454.

Almost surely, 2^6866742144 is an apocalyptic number.

6866742144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6866742144 is an abundant number, since it is smaller than the sum of its proper divisors (11373042696).

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

6866742144 is a wasteful number, since it uses less digits than its factorization.

6866742144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17882158 (or 17882146 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 6866742144 is about 82865.8080513308. The cubic root of 6866742144 is about 1900.7146106026.

The spelling of 6866742144 in words is "six billion, eight hundred sixty-six million, seven hundred forty-two thousand, one hundred forty-four".