6742878912 has 672 divisors, whose sum is σ = 26463467520. Its totient is φ = 1642291200.

The previous prime is 6742878911. The next prime is 6742878937. The reversal of 6742878912 is 2198782476.

It is a happy number.

6742878912 is a `hidden beast` number, since 67 + 428 + 78 + 91 + 2 = 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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6742878911) 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 95 ways as a sum of consecutive naturals, for example, 24881337 + ... + 24881607.

It is an arithmetic number, because the mean of its divisors is an integer number (39380160).

Almost surely, 2^6742878912 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 6742878912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13231733760).

6742878912 is an abundant number, since it is smaller than the sum of its proper divisors (19720588608).

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

6742878912 is a wasteful number, since it uses less digits than its factorization.

6742878912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 311 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 6742878912 is about 82115.0346282579. The cubic root of 6742878912 is about 1889.2167477605.

The spelling of 6742878912 in words is "six billion, seven hundred forty-two million, eight hundred seventy-eight thousand, nine hundred twelve".