726555562560 has 280 divisors, whose sum is σ = 2633254820856. Its totient is φ = 190092165120.

The previous prime is 726555562559. The next prime is 726555562627. The reversal of 726555562560 is 65265555627.

726555562560 is a `hidden beast` number, since 7 + 2 + 6 + 5 + 5 + 5 + 5 + 625 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99633659904 + 626921902656 = 315648^2 + 791784^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 726555562497 and 726555562506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1109320 + ... + 1638200.

Almost surely, 2^726555562560 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 726555562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316627410428).

726555562560 is an abundant number, since it is smaller than the sum of its proper divisors (1906699258296).

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

726555562560 is a wasteful number, since it uses less digits than its factorization.

726555562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528963 (or 528944 counting only the distinct ones).

The product of its (nonzero) digits is 18900000, while the sum is 54.

The spelling of 726555562560 in words is "seven hundred twenty-six billion, five hundred fifty-five million, five hundred sixty-two thousand, five hundred sixty".