27676978560 has 1536 divisors, whose sum is σ = 129191731200. Its totient is φ = 5474304000.

The previous prime is 27676978523. The next prime is 27676978583. The reversal of 27676978560 is 6587967672.

27676978560 is a `hidden beast` number, since 2 + 7 + 6 + 7 + 69 + 7 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 453720930 + ... + 453720990.

It is an arithmetic number, because the mean of its divisors is an integer number (84109200).

Almost surely, 2^27676978560 is an apocalyptic number.

27676978560 is a gapful number since it is divisible by the number (20) 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 27676978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64595865600).

27676978560 is an abundant number, since it is smaller than the sum of its proper divisors (101514752640).

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

27676978560 is a wasteful number, since it uses less digits than its factorization.

27676978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 27676978560 in words is "twenty-seven billion, six hundred seventy-six million, nine hundred seventy-eight thousand, five hundred sixty".