6726124358900 has 72 divisors (see below), whose sum is σ = 14805593631360. Its totient is φ = 2651779984000.

The previous prime is 6726124358873. The next prime is 6726124358963. The reversal of 6726124358900 is 98534216276.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24436241 + ... + 24709959.

It is an arithmetic number, because the mean of its divisors is an integer number (205633244880).

It is a 1-persistent number, because it is pandigital, but 2⋅6726124358900 = 13452248717800 is not.

Almost surely, 2^{6726124358900} 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 6726124358900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402796815680).

6726124358900 is an abundant number, since it is smaller than the sum of its proper divisors (8079469272460).

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

6726124358900 is a wasteful number, since it uses less digits than its factorization.

6726124358900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277265 (or 277258 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 6726124358900 in words is "six trillion, seven hundred twenty-six billion, one hundred twenty-four million, three hundred fifty-eight thousand, nine hundred".