27515064672 has 144 divisors (see below), whose sum is σ = 83046403440. Its totient is φ = 8611577856.

The previous prime is 27515064671. The next prime is 27515064677. The reversal of 27515064672 is 27646051572.

27515064672 is a `hidden beast` number, since 2 + 7 + 515 + 0 + 64 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27515064671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2113479 + ... + 2126457.

It is an arithmetic number, because the mean of its divisors is an integer number (576711135).

Almost surely, 2^27515064672 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 27515064672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41523201720).

27515064672 is an abundant number, since it is smaller than the sum of its proper divisors (55531338768).

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

27515064672 is a wasteful number, since it uses less digits than its factorization.

27515064672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13445 (or 13434 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 27515064672 in words is "twenty-seven billion, five hundred fifteen million, sixty-four thousand, six hundred seventy-two".