726022542600 has 192 divisors, whose sum is σ = 2504808878400. Its totient is φ = 193291338240.

The previous prime is 726022542571. The next prime is 726022542601. The reversal of 726022542600 is 6245220627.

726022542600 is a `hidden beast` number, since 7 + 2 + 6 + 0 + 2 + 2 + 5 + 42 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (726022542601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3222847 + ... + 3440753.

It is an arithmetic number, because the mean of its divisors is an integer number (13045879575).

Almost surely, 2^726022542600 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 726022542600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252404439200).

726022542600 is an abundant number, since it is smaller than the sum of its proper divisors (1778786335800).

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

726022542600 is a wasteful number, since it uses less digits than its factorization.

726022542600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218549 (or 218534 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 726022542600 in words is "seven hundred twenty-six billion, twenty-two million, five hundred forty-two thousand, six hundred".