6746073984 has 160 divisors (see below), whose sum is σ = 21620962440. Its totient is φ = 2075673600.

The previous prime is 6746073967. The next prime is 6746074007. The reversal of 6746073984 is 4893706476.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6746073984.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 109759 + ... + 159809.

Almost surely, 2^6746073984 is an apocalyptic number.

6746073984 is a gapful number since it is divisible by the number (64) 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 6746073984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10810481220).

6746073984 is an abundant number, since it is smaller than the sum of its proper divisors (14874888456).

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

6746073984 is a wasteful number, since it uses less digits than its factorization.

6746073984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50090 (or 50069 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 6746073984 is about 82134.4871780423. The cubic root of 6746073984 is about 1889.5150985816.

The spelling of 6746073984 in words is "six billion, seven hundred forty-six million, seventy-three thousand, nine hundred eighty-four".