27629613696 has 128 divisors (see below), whose sum is σ = 77506813440. Its totient is φ = 8703073280.

The previous prime is 27629613659. The next prime is 27629613703. The reversal of 27629613696 is 69631692672.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714211 + ... + 751901.

It is an arithmetic number, because the mean of its divisors is an integer number (605521980).

Almost surely, 2^27629613696 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 27629613696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38753406720).

27629613696 is an abundant number, since it is smaller than the sum of its proper divisors (49877199744).

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

27629613696 is a wasteful number, since it uses less digits than its factorization.

27629613696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37814 (or 37802 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 57.

The spelling of 27629613696 in words is "twenty-seven billion, six hundred twenty-nine million, six hundred thirteen thousand, six hundred ninety-six".