6728973264 has 280 divisors, whose sum is σ = 21251417600. Its totient is φ = 2050811136.

The previous prime is 6728973193. The next prime is 6728973299. The reversal of 6728973264 is 4623798276.

6728973264 = T₂₄₇ + T₂₄₈ + ... + T₃₄₃₀.

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 6728973264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 30174657 + ... + 30174879.

It is an arithmetic number, because the mean of its divisors is an integer number (75897920).

Almost surely, 2^6728973264 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 6728973264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10625708800).

6728973264 is an abundant number, since it is smaller than the sum of its proper divisors (14522444336).

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

6728973264 is a wasteful number, since it uses less digits than its factorization.

6728973264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 440 counting only the distinct ones).

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

The square root of 6728973264 is about 82030.3191752903. The cubic root of 6728973264 is about 1887.9171612725.

The spelling of 6728973264 in words is "six billion, seven hundred twenty-eight million, nine hundred seventy-three thousand, two hundred sixty-four".