726852641400 has 960 divisors, whose sum is σ = 2701757076480. Its totient is φ = 180801331200.

The previous prime is 726852641377. The next prime is 726852641407. The reversal of 726852641400 is 4146258627.

726852641400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726852641407) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2094676027 + ... + 2094676373.

It is an arithmetic number, because the mean of its divisors is an integer number (2814330288).

Almost surely, 2^726852641400 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 726852641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350878538240).

726852641400 is an abundant number, since it is smaller than the sum of its proper divisors (1974904435080).

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

726852641400 is a wasteful number, since it uses less digits than its factorization.

726852641400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 528 counting only the distinct ones).

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

The spelling of 726852641400 in words is "seven hundred twenty-six billion, eight hundred fifty-two million, six hundred forty-one thousand, four hundred".