27767517136632 has 384 divisors, whose sum is σ = 95532408806400. Its totient is φ = 7317230888448.

The previous prime is 27767517136613. The next prime is 27767517136637. The reversal of 27767517136632 is 23663171576772.

27767517136632 is a `hidden beast` number, since 2 + 7 + 7 + 6 + 75 + 171 + 366 + 32 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27767517136632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27767517136637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 312466318 + ... + 312555170.

It is an arithmetic number, because the mean of its divisors is an integer number (248782314600).

Almost surely, 2^{27767517136632} 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 27767517136632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47766204403200).

27767517136632 is an abundant number, since it is smaller than the sum of its proper divisors (67764891669768).

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

27767517136632 is a wasteful number, since it uses less digits than its factorization.

27767517136632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90124 (or 90101 counting only the distinct ones).

The product of its digits is 93350880, while the sum is 63.

The spelling of 27767517136632 in words is "twenty-seven trillion, seven hundred sixty-seven billion, five hundred seventeen million, one hundred thirty-six thousand, six hundred thirty-two".