6726804401520 has 2240 divisors, whose sum is σ = 29368591718400. Its totient is φ = 1426553856000.

The previous prime is 6726804401519. The next prime is 6726804401531. The reversal of 6726804401520 is 251044086276.

6726804401520 is a `hidden beast` number, since 6 + 7 + 2 + 6 + 80 + 4 + 40 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 44548373445 + ... + 44548373595.

Almost surely, 2^{6726804401520} is an apocalyptic number.

6726804401520 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 6726804401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14684295859200).

6726804401520 is an abundant number, since it is smaller than the sum of its proper divisors (22641787316880).

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

6726804401520 is a wasteful number, since it uses less digits than its factorization.

6726804401520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

Adding to 6726804401520 its reverse (251044086276), we get a palindrome (6977848487796).

The spelling of 6726804401520 in words is "six trillion, seven hundred twenty-six billion, eight hundred four million, four hundred one thousand, five hundred twenty".