726560640 has 384 divisors, whose sum is σ = 2797966080. Its totient is φ = 172523520.

The previous prime is 726560621. The next prime is 726560641. The reversal of 726560640 is 46065627.

726560640 is a `hidden beast` number, since 7 + 2 + 6 + 5 + 6 + 0 + 640 = 666.

726560640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 726560595 and 726560604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726560641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2321124 + ... + 2321436.

It is an arithmetic number, because the mean of its divisors is an integer number (7286370).

Almost surely, 2^726560640 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 726560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398983040).

726560640 is an abundant number, since it is smaller than the sum of its proper divisors (2071405440).

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

726560640 is a wasteful number, since it uses less digits than its factorization.

726560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 726560640 is about 26954.7888138639. The cubic root of 726560640 is about 898.9950263747.

The spelling of 726560640 in words is "seven hundred twenty-six million, five hundred sixty thousand, six hundred forty".