727188480000 has 840 divisors, whose sum is σ = 2693322211008. Its totient is φ = 188891136000.

The previous prime is 727188479981. The next prime is 727188480017. The reversal of 727188480000 is 84881727.

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

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 59 ways as a sum of consecutive naturals, for example, 1981439817 + ... + 1981440183.

Almost surely, 2^727188480000 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 727188480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346661105504).

727188480000 is an abundant number, since it is smaller than the sum of its proper divisors (1966133731008).

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

727188480000 is an equidigital number, since it uses as much as digits as its factorization.

727188480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 727188480000 in words is "seven hundred twenty-seven billion, one hundred eighty-eight million, four hundred eighty thousand".