27487371264 has 176 divisors, whose sum is σ = 77913372528. Its totient is φ = 8589934592.

The previous prime is 27487371259. The next prime is 27487371271. The reversal of 27487371264 is 46217378472.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 27487371264 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106954624 + ... + 106954880.

Almost surely, 2^27487371264 is an apocalyptic number.

27487371264 is a gapful number since it is divisible by the number (24) 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 27487371264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38956686264).

27487371264 is an abundant number, since it is smaller than the sum of its proper divisors (50426001264).

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

27487371264 is an frugal number, since it uses more digits than its factorization.

27487371264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 279 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 51.

The spelling of 27487371264 in words is "twenty-seven billion, four hundred eighty-seven million, three hundred seventy-one thousand, two hundred sixty-four".