726403507200 has 2112 divisors, whose sum is σ = 3274990387200. Its totient is φ = 154209484800.

The previous prime is 726403507199. The next prime is 726403507243. The reversal of 726403507200 is 2705304627.

It is a happy number.

726403507200 is a `hidden beast` number, since 7 + 2 + 640 + 3 + 5 + 0 + 7 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4349721517 + ... + 4349721683.

Almost surely, 2^726403507200 is an apocalyptic number.

726403507200 is a gapful number since it is divisible by the number (70) 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 726403507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637495193600).

726403507200 is an abundant number, since it is smaller than the sum of its proper divisors (2548586880000).

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

726403507200 is a wasteful number, since it uses less digits than its factorization.

726403507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 726403507200 in words is "seven hundred twenty-six billion, four hundred three million, five hundred seven thousand, two hundred".