6728130297504 has 864 divisors, whose sum is σ = 24855224284800. Its totient is φ = 1688585564160.

The previous prime is 6728130297487. The next prime is 6728130297509. The reversal of 6728130297504 is 4057920318276.

It is a happy number.

6728130297504 is a `hidden beast` number, since 6 + 7 + 2 + 81 + 30 + 29 + 7 + 504 = 666.

It is not an unprimeable number, because it can be changed into a prime (6728130297509) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1344816667 + ... + 1344821669.

It is an arithmetic number, because the mean of its divisors is an integer number (28767620700).

It is a 1-persistent number, because it is pandigital, but 2⋅6728130297504 = 13456260595008 is not.

Almost surely, 2^{6728130297504} 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 6728130297504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12427612142400).

6728130297504 is an abundant number, since it is smaller than the sum of its proper divisors (18127093987296).

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

6728130297504 is a wasteful number, since it uses less digits than its factorization.

6728130297504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 6728130297504 in words is "six trillion, seven hundred twenty-eight billion, one hundred thirty million, two hundred ninety-seven thousand, five hundred four".