1271873664 has 192 divisors, whose sum is σ = 3842005440. Its totient is φ = 418784256.

The previous prime is 1271873641. The next prime is 1271873719. The reversal of 1271873664 is 4663781721.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3203514 + ... + 3203910.

It is an arithmetic number, because the mean of its divisors is an integer number (20010445).

Almost surely, 2^1271873664 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 1271873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921002720).

1271873664 is an abundant number, since it is smaller than the sum of its proper divisors (2570131776).

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

1271873664 is an equidigital number, since it uses as much as digits as its factorization.

1271873664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 505 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 1271873664 is about 35663.3378135025. The cubic root of 1271873664 is about 1083.4644304518.

The spelling of 1271873664 in words is "one billion, two hundred seventy-one million, eight hundred seventy-three thousand, six hundred sixty-four".