27774419616 has 96 divisors (see below), whose sum is σ = 81037393920. Its totient is φ = 9254863872.

The previous prime is 27774419611. The next prime is 27774419663. The reversal of 27774419616 is 61691447772.

It is a happy number.

27774419616 is a `hidden beast` number, since 2 + 7 + 7 + 7 + 4 + 4 + 19 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (27774419611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4518241 + ... + 4524383.

It is an arithmetic number, because the mean of its divisors is an integer number (844139520).

Almost surely, 2^27774419616 is an apocalyptic number.

It is an amenable number.

27774419616 is an abundant number, since it is smaller than the sum of its proper divisors (53262974304).

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

27774419616 is a wasteful number, since it uses less digits than its factorization.

27774419616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11395 (or 11381 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 27774419616 in words is "twenty-seven billion, seven hundred seventy-four million, four hundred nineteen thousand, six hundred sixteen".