6730428257280 has 2640 divisors, whose sum is σ = 30715466720400. Its totient is φ = 1396580548608.

The previous prime is 6730428257279. The next prime is 6730428257327. The reversal of 6730428257280 is 827528240376.

6730428257280 is a `hidden beast` number, since 6 + 7 + 30 + 4 + 282 + 57 + 280 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 81951657984 + 6648476599296 = 286272^2 + 2578464^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19284894546 + ... + 19284894894.

It is an arithmetic number, because the mean of its divisors is an integer number (11634646485).

Almost surely, 2^{6730428257280} is an apocalyptic number.

6730428257280 is a gapful number since it is divisible by the number (60) 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 6730428257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15357733360200).

6730428257280 is an abundant number, since it is smaller than the sum of its proper divisors (23985038463120).

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

6730428257280 is a wasteful number, since it uses less digits than its factorization.

6730428257280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 6730428257280 in words is "six trillion, seven hundred thirty billion, four hundred twenty-eight million, two hundred fifty-seven thousand, two hundred eighty".