726503652000 has 576 divisors, whose sum is σ = 2955408228864. Its totient is φ = 165567283200.

The previous prime is 726503651983. The next prime is 726503652041. The reversal of 726503652000 is 256305627.

It is a happy number.

726503652000 is a `hidden beast` number, since 72 + 6 + 503 + 65 + 20 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88951917 + ... + 88960083.

It is an arithmetic number, because the mean of its divisors is an integer number (5130917064).

Almost surely, 2^726503652000 is an apocalyptic number.

726503652000 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 726503652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477704114432).

726503652000 is an abundant number, since it is smaller than the sum of its proper divisors (2228904576864).

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

726503652000 is a wasteful number, since it uses less digits than its factorization.

726503652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8558 (or 8537 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 726503652000 its reverse (256305627), we get a palindrome (726759957627).

The spelling of 726503652000 in words is "seven hundred twenty-six billion, five hundred three million, six hundred fifty-two thousand".