726649560 has 384 divisors, whose sum is σ = 2982994560. Its totient is φ = 149299200.

The previous prime is 726649559. The next prime is 726649589. The reversal of 726649560 is 65946627.

726649560 is a `hidden beast` number, since 7 + 26 + 64 + 9 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1342890 + ... + 1343430.

It is an arithmetic number, because the mean of its divisors is an integer number (7768215).

Almost surely, 2^726649560 is an apocalyptic number.

726649560 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 726649560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491497280).

726649560 is an abundant number, since it is smaller than the sum of its proper divisors (2256345000).

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

726649560 is a wasteful number, since it uses less digits than its factorization.

726649560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 726649560 is about 26956.4381920164. The cubic root of 726649560 is about 899.0316993297.

The spelling of 726649560 in words is "seven hundred twenty-six million, six hundred forty-nine thousand, five hundred sixty".