27654646656 has 512 divisors, whose sum is σ = 95413248000. Its totient is φ = 7044710400.

The previous prime is 27654646637. The next prime is 27654646697. The reversal of 27654646656 is 65664645672.

It is a junction number, because it is equal to n+sod(n) for n = 27654646596 and 27654646605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53079676 + ... + 53080196.

It is an arithmetic number, because the mean of its divisors is an integer number (186354000).

Almost surely, 2^27654646656 is an apocalyptic number.

27654646656 is a gapful number since it is divisible by the number (26) 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 27654646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47706624000).

27654646656 is an abundant number, since it is smaller than the sum of its proper divisors (67758601344).

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

27654646656 is a wasteful number, since it uses less digits than its factorization.

27654646656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 577 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 57.

The spelling of 27654646656 in words is "twenty-seven billion, six hundred fifty-four million, six hundred forty-six thousand, six hundred fifty-six".