727741048320 has 2560 divisors, whose sum is σ = 3314307870720. Its totient is φ = 148635648000.

The previous prime is 727741048283. The next prime is 727741048343. The reversal of 727741048320 is 23840147727.

727741048320 is a `hidden beast` number, since 7 + 277 + 4 + 10 + 48 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-3 number, since 3×727741048320³ (a number of 37 digits) contains 333 as substring.

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 255 ways as a sum of consecutive naturals, for example, 10249873885 + ... + 10249873955.

It is an arithmetic number, because the mean of its divisors is an integer number (1294651512).

Almost surely, 2^727741048320 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 727741048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657153935360).

727741048320 is an abundant number, since it is smaller than the sum of its proper divisors (2586566822400).

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

727741048320 is a wasteful number, since it uses less digits than its factorization.

727741048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 727741048320 in words is "seven hundred twenty-seven billion, seven hundred forty-one million, forty-eight thousand, three hundred twenty".