271869731640 has 288 divisors, whose sum is σ = 988104106080. Its totient is φ = 66920940288.

The previous prime is 271869731629. The next prime is 271869731641. The reversal of 271869731640 is 46137968172.

271869731640 is a `hidden beast` number, since 27 + 186 + 97 + 316 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271869731641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3371877 + ... + 3451563.

It is an arithmetic number, because the mean of its divisors is an integer number (3430917035).

Almost surely, 2^271869731640 is an apocalyptic number.

271869731640 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 271869731640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494052053040).

271869731640 is an abundant number, since it is smaller than the sum of its proper divisors (716234374440).

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

271869731640 is an equidigital number, since it uses as much as digits as its factorization.

271869731640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79735 (or 79710 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 271869731640 in words is "two hundred seventy-one billion, eight hundred sixty-nine million, seven hundred thirty-one thousand, six hundred forty".