27645072700 has 72 divisors (see below), whose sum is σ = 68719601664. Its totient is φ = 9456216000.

The previous prime is 27645072677. The next prime is 27645072727. The reversal of 27645072700 is 727054672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255885 + ... + 347515.

It is an arithmetic number, because the mean of its divisors is an integer number (954438912).

Almost surely, 2^27645072700 is an apocalyptic number.

27645072700 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 27645072700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34359800832).

27645072700 is an abundant number, since it is smaller than the sum of its proper divisors (41074528964).

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

27645072700 is a wasteful number, since it uses less digits than its factorization.

27645072700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92083 (or 92076 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The spelling of 27645072700 in words is "twenty-seven billion, six hundred forty-five million, seventy-two thousand, seven hundred".