27405621464 has 64 divisors (see below), whose sum is σ = 56999544000. Its totient is φ = 12271025664.

The previous prime is 27405621437. The next prime is 27405621473. The reversal of 27405621464 is 46412650472.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332749 + ... + 1353155.

It is an arithmetic number, because the mean of its divisors is an integer number (890617875).

Almost surely, 2^27405621464 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 27405621464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28499772000).

27405621464 is an abundant number, since it is smaller than the sum of its proper divisors (29593922536).

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

27405621464 is a wasteful number, since it uses less digits than its factorization.

27405621464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20812 (or 20808 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 27405621464 in words is "twenty-seven billion, four hundred five million, six hundred twenty-one thousand, four hundred sixty-four".