27733870464 has 64 divisors (see below), whose sum is σ = 73919820240. Its totient is φ = 9213034496.

The previous prime is 27733870421. The next prime is 27733870481. The reversal of 27733870464 is 46407833772.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10737 + ... + 235760.

Almost surely, 2^27733870464 is an apocalyptic number.

27733870464 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 27733870464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36959910120).

27733870464 is an abundant number, since it is smaller than the sum of its proper divisors (46185949776).

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

27733870464 is a wasteful number, since it uses less digits than its factorization.

27733870464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246807 (or 246795 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 51.

The spelling of 27733870464 in words is "twenty-seven billion, seven hundred thirty-three million, eight hundred seventy thousand, four hundred sixty-four".