726251906520 has 480 divisors, whose sum is σ = 2847809923200. Its totient is φ = 165517406208.

The previous prime is 726251906467. The next prime is 726251906521. The reversal of 726251906520 is 25609152627.

726251906520 is a `hidden beast` number, since 7 + 2 + 625 + 19 + 0 + 6 + 5 + 2 + 0 = 666.

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 (726251906521) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56035801 + ... + 56048759.

It is an arithmetic number, because the mean of its divisors is an integer number (5932937340).

Almost surely, 2^726251906520 is an apocalyptic number.

726251906520 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 726251906520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423904961600).

726251906520 is an abundant number, since it is smaller than the sum of its proper divisors (2121558016680).

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

726251906520 is a wasteful number, since it uses less digits than its factorization.

726251906520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13349 (or 13329 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 726251906520 in words is "seven hundred twenty-six billion, two hundred fifty-one million, nine hundred six thousand, five hundred twenty".