27626661672480 has 1152 divisors, whose sum is σ = 109452344601600. Its totient is φ = 6284893224960.

The previous prime is 27626661672371. The next prime is 27626661672481. The reversal of 27626661672480 is 8427616662672.

It is not an unprimeable number, because it can be changed into a prime (27626661672481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5942493196 + ... + 5942497844.

It is an arithmetic number, because the mean of its divisors is an integer number (95010715800).

Almost surely, 2^{27626661672480} is an apocalyptic number.

27626661672480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27626661672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54726172300800).

27626661672480 is an abundant number, since it is smaller than the sum of its proper divisors (81825682929120).

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

27626661672480 is a wasteful number, since it uses less digits than its factorization.

27626661672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 27626661672480 in words is "twenty-seven trillion, six hundred twenty-six billion, six hundred sixty-one million, six hundred seventy-two thousand, four hundred eighty".