27420106752 has 336 divisors, whose sum is σ = 85014401472. Its totient is φ = 8485601280.

The previous prime is 27420106739. The next prime is 27420106759. The reversal of 27420106752 is 25760102472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27420106759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164192173 + ... + 164192339.

It is an arithmetic number, because the mean of its divisors is an integer number (253019052).

Almost surely, 2^27420106752 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 27420106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42507200736).

27420106752 is an abundant number, since it is smaller than the sum of its proper divisors (57594294720).

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

27420106752 is a wasteful number, since it uses less digits than its factorization.

27420106752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 27420106752 in words is "twenty-seven billion, four hundred twenty million, one hundred six thousand, seven hundred fifty-two".