727416650240 has 480 divisors, whose sum is σ = 2241739805184. Its totient is φ = 224508641280.

The previous prime is 727416650239. The next prime is 727416650269. The reversal of 727416650240 is 42056614727.

It is a happy number.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 727416650191 and 727416650200.

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 47 ways as a sum of consecutive naturals, for example, 49039625 + ... + 49054455.

Almost surely, 2^727416650240 is an apocalyptic number.

727416650240 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 727416650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120869902592).

727416650240 is an abundant number, since it is smaller than the sum of its proper divisors (1514323154944).

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

727416650240 is a wasteful number, since it uses less digits than its factorization.

727416650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14908 (or 14885 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 727416650240 in words is "seven hundred twenty-seven billion, four hundred sixteen million, six hundred fifty thousand, two hundred forty".