27440612489760 has 384 divisors, whose sum is σ = 87785031204864. Its totient is φ = 7204544040960.

The previous prime is 27440612489711. The next prime is 27440612489791. The reversal of 27440612489760 is 6798421604472.

It is a super-2 number, since 2×27440612489760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 27440612489694 and 27440612489703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4720556614 + ... + 4720562426.

It is an arithmetic number, because the mean of its divisors is an integer number (228606852096).

Almost surely, 2^{27440612489760} is an apocalyptic number.

27440612489760 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 27440612489760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43892515602432).

27440612489760 is an abundant number, since it is smaller than the sum of its proper divisors (60344418715104).

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

27440612489760 is a wasteful number, since it uses less digits than its factorization.

27440612489760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6536 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 27440612489760 in words is "twenty-seven trillion, four hundred forty billion, six hundred twelve million, four hundred eighty-nine thousand, seven hundred sixty".