27672771750 has 256 divisors, whose sum is σ = 77441495040. Its totient is φ = 6537024000.

The previous prime is 27672771689. The next prime is 27672771769. The reversal of 27672771750 is 5717727672.

27672771750 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 27672771693 and 27672771702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28498765 + ... + 28499735.

It is an arithmetic number, because the mean of its divisors is an integer number (302505840).

Almost surely, 2^27672771750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27672771750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38720747520).

27672771750 is an abundant number, since it is smaller than the sum of its proper divisors (49768723290).

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

27672771750 is a wasteful number, since it uses less digits than its factorization.

27672771750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 2016840, while the sum is 51.

The spelling of 27672771750 in words is "twenty-seven billion, six hundred seventy-two million, seven hundred seventy-one thousand, seven hundred fifty".