727311872640 has 128 divisors (see below), whose sum is σ = 2320096504320. Its totient is φ = 193800089600.

The previous prime is 727311872587. The next prime is 727311872711. The reversal of 727311872640 is 46278113727.

It is a tau number, because it is divible by the number of its divisors (128).

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 727311872640.

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 15 ways as a sum of consecutive naturals, for example, 2352337 + ... + 2643503.

It is an arithmetic number, because the mean of its divisors is an integer number (18125753940).

Almost surely, 2^727311872640 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 727311872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160048252160).

727311872640 is an abundant number, since it is smaller than the sum of its proper divisors (1592784631680).

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

727311872640 is a wasteful number, since it uses less digits than its factorization.

727311872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292490 (or 292478 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

It can be divided in two parts, 727311 and 872640, that added together give a palindrome (1599951).

The spelling of 727311872640 in words is "seven hundred twenty-seven billion, three hundred eleven million, eight hundred seventy-two thousand, six hundred forty".