27667112420628 has 144 divisors (see below), whose sum is σ = 76516632628800. Its totient is φ = 8395726671360.

The previous prime is 27667112420579. The next prime is 27667112420653. The reversal of 27667112420628 is 82602421176672.

27667112420628 is a `hidden beast` number, since 2 + 7 + 6 + 6 + 7 + 1 + 1 + 2 + 4 + 2 + 0 + 628 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880200 + ... + 7490592.

Almost surely, 2^{27667112420628} 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 27667112420628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38258316314400).

27667112420628 is an abundant number, since it is smaller than the sum of its proper divisors (48849520208172).

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

27667112420628 is a wasteful number, since it uses less digits than its factorization.

27667112420628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610662 (or 6610657 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 27667112420628 in words is "twenty-seven trillion, six hundred sixty-seven billion, one hundred twelve million, four hundred twenty thousand, six hundred twenty-eight".