726449290560 has 1120 divisors, whose sum is σ = 3044878848000. Its totient is φ = 160977383424.

The previous prime is 726449290547. The next prime is 726449290561. The reversal of 726449290560 is 65092944627.

726449290560 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 492 + 90 + 5 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×726449290560² (a number of 25 digits) contains 22 as substring.

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 = 726449290497 and 726449290506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726449290561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 845691411 + ... + 845692269.

Almost surely, 2^726449290560 is an apocalyptic number.

726449290560 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 726449290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522439424000).

726449290560 is an abundant number, since it is smaller than the sum of its proper divisors (2318429557440).

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

726449290560 is a wasteful number, since it uses less digits than its factorization.

726449290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 726449290560 in words is "seven hundred twenty-six billion, four hundred forty-nine million, two hundred ninety thousand, five hundred sixty".