27697774104 has 1152 divisors, whose sum is σ = 111541248000. Its totient is φ = 6147187200.

The previous prime is 27697774061. The next prime is 27697774123. The reversal of 27697774104 is 40147779672.

27697774104 is a `hidden beast` number, since 2 + 76 + 97 + 77 + 410 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 893476569 + ... + 893476599.

It is an arithmetic number, because the mean of its divisors is an integer number (96824000).

Almost surely, 2^27697774104 is an apocalyptic number.

27697774104 is a gapful number since it is divisible by the number (24) 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 27697774104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55770624000).

27697774104 is an abundant number, since it is smaller than the sum of its proper divisors (83843473896).

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

27697774104 is a wasteful number, since it uses less digits than its factorization.

27697774104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 27697774104 in words is "twenty-seven billion, six hundred ninety-seven million, seven hundred seventy-four thousand, one hundred four".