27066420654 has 256 divisors, whose sum is σ = 71635415040. Its totient is φ = 6623907840.

The previous prime is 27066420653. The next prime is 27066420697. The reversal of 27066420654 is 45602466072.

It is a super-2 number, since 2×27066420654² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27066420653) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68177184 + ... + 68177580.

It is an arithmetic number, because the mean of its divisors is an integer number (279825840).

Almost surely, 2^27066420654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27066420654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35817707520).

27066420654 is an abundant number, since it is smaller than the sum of its proper divisors (44568994386).

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

27066420654 is a wasteful number, since it uses less digits than its factorization.

27066420654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595.

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 27066420654 in words is "twenty-seven billion, sixty-six million, four hundred twenty thousand, six hundred fifty-four".