27834761646 has 32 divisors (see below), whose sum is σ = 63022108320. Its totient is φ = 9103191552.

The previous prime is 27834761629. The next prime is 27834761651. The reversal of 27834761646 is 64616743872.

27834761646 is a `hidden beast` number, since 2 + 7 + 8 + 3 + 476 + 164 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 27834761592 and 27834761601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4859955 + ... + 4865678.

It is an arithmetic number, because the mean of its divisors is an integer number (1969440885).

Almost surely, 2^27834761646 is an apocalyptic number.

27834761646 is an abundant number, since it is smaller than the sum of its proper divisors (35187346674).

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

27834761646 is a wasteful number, since it uses less digits than its factorization.

27834761646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9725697 (or 9725691 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 27834761646 in words is "twenty-seven billion, eight hundred thirty-four million, seven hundred sixty-one thousand, six hundred forty-six".