27676753920 has 600 divisors, whose sum is σ = 102577486704. Its totient is φ = 7134511104.

The previous prime is 27676753891. The next prime is 27676753931. The reversal of 27676753920 is 2935767672.

27676753920 is a `hidden beast` number, since 27 + 6 + 7 + 67 + 539 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 285327312 + ... + 285327408.

Almost surely, 2^27676753920 is an apocalyptic number.

27676753920 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 27676753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51288743352).

27676753920 is an abundant number, since it is smaller than the sum of its proper divisors (74900732784).

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

27676753920 is an frugal number, since it uses more digits than its factorization.

27676753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 27676753920 in words is "twenty-seven billion, six hundred seventy-six million, seven hundred fifty-three thousand, nine hundred twenty".