726540536640 has 224 divisors, whose sum is σ = 2370854271744. Its totient is φ = 188369141760.

The previous prime is 726540536633. The next prime is 726540536651. The reversal of 726540536640 is 46635045627.

It is a super-2 number, since 2×726540536640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 726540536640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53663952 + ... + 53677488.

It is an arithmetic number, because the mean of its divisors is an integer number (10584170856).

Almost surely, 2^726540536640 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 726540536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185427135872).

726540536640 is an abundant number, since it is smaller than the sum of its proper divisors (1644313735104).

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

726540536640 is a wasteful number, since it uses less digits than its factorization.

726540536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15105 (or 15095 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 726540536640 in words is "seven hundred twenty-six billion, five hundred forty million, five hundred thirty-six thousand, six hundred forty".