271729748640 has 768 divisors, whose sum is σ = 1030045040640. Its totient is φ = 58931712000.

The previous prime is 271729748639. The next prime is 271729748659. The reversal of 271729748640 is 46847927172.

271729748640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1082588515 + ... + 1082588765.

It is an arithmetic number, because the mean of its divisors is an integer number (1341204480).

Almost surely, 2^271729748640 is an apocalyptic number.

271729748640 is a gapful number since it is divisible by the number (20) 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 271729748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515022520320).

271729748640 is an abundant number, since it is smaller than the sum of its proper divisors (758315292000).

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

271729748640 is a wasteful number, since it uses less digits than its factorization.

271729748640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 57.

The spelling of 271729748640 in words is "two hundred seventy-one billion, seven hundred twenty-nine million, seven hundred forty-eight thousand, six hundred forty".