27622661472 has 672 divisors, whose sum is σ = 101801145600. Its totient is φ = 7195474944.

The previous prime is 27622661471. The next prime is 27622661489. The reversal of 27622661472 is 27416622672.

It is a happy number.

27622661472 is a `hidden beast` number, since 2 + 7 + 6 + 2 + 26 + 614 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×27622661472² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27622661471) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 89975943 + ... + 89976249.

It is an arithmetic number, because the mean of its divisors is an integer number (151489800).

Almost surely, 2^27622661472 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 27622661472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50900572800).

27622661472 is an abundant number, since it is smaller than the sum of its proper divisors (74178484128).

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

27622661472 is a wasteful number, since it uses less digits than its factorization.

27622661472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 367 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 27622661472 in words is "twenty-seven billion, six hundred twenty-two million, six hundred sixty-one thousand, four hundred seventy-two".