6726229825920 has 1024 divisors, whose sum is σ = 25387632230400. Its totient is φ = 1498175078400.

The previous prime is 6726229825907. The next prime is 6726229825927. The reversal of 6726229825920 is 295289226276.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6726229825927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1274145841 + ... + 1274151119.

It is an arithmetic number, because the mean of its divisors is an integer number (24792609600).

Almost surely, 2^{6726229825920} is an apocalyptic number.

6726229825920 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 6726229825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12693816115200).

6726229825920 is an abundant number, since it is smaller than the sum of its proper divisors (18661402404480).

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

6726229825920 is a wasteful number, since it uses less digits than its factorization.

6726229825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 6726229825920 in words is "six trillion, seven hundred twenty-six billion, two hundred twenty-nine million, eight hundred twenty-five thousand, nine hundred twenty".