27493006464 has 384 divisors, whose sum is σ = 100272332160. Its totient is φ = 7022592000.

The previous prime is 27493006417. The next prime is 27493006493. The reversal of 27493006464 is 46460039472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5408404 + ... + 5413484.

It is an arithmetic number, because the mean of its divisors is an integer number (261125865).

Almost surely, 2^27493006464 is an apocalyptic number.

27493006464 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 27493006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50136166080).

27493006464 is an abundant number, since it is smaller than the sum of its proper divisors (72779325696).

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

27493006464 is a wasteful number, since it uses less digits than its factorization.

27493006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5180 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 27493006464 in words is "twenty-seven billion, four hundred ninety-three million, six thousand, four hundred sixty-four".