27426220673670 has 288 divisors, whose sum is σ = 88733735423424. Its totient is φ = 5754656793600.

The previous prime is 27426220673639. The next prime is 27426220673707. The reversal of 27426220673670 is 7637602262472.

27426220673670 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 622 + 0 + 6 + 7 + 3 + 6 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18559480 + ... + 19982660.

It is an arithmetic number, because the mean of its divisors is an integer number (308103247998).

Almost surely, 2^{27426220673670} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27426220673670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44366867711712).

27426220673670 is an abundant number, since it is smaller than the sum of its proper divisors (61307514749754).

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

27426220673670 is a wasteful number, since it uses less digits than its factorization.

27426220673670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423408 (or 1423392 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 27426220673670 in words is "twenty-seven trillion, four hundred twenty-six billion, two hundred twenty million, six hundred seventy-three thousand, six hundred seventy".