27090370944 has 768 divisors, whose sum is σ = 105538567680. Its totient is φ = 6712492032.

The previous prime is 27090370903. The next prime is 27090370969. The reversal of 27090370944 is 44907309072.

27090370944 is a `hidden beast` number, since 270 + 9 + 0 + 370 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×27090370944² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27090370944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48117607 + ... + 48118169.

It is an arithmetic number, because the mean of its divisors is an integer number (137420010).

Almost surely, 2^27090370944 is an apocalyptic number.

27090370944 is a gapful number since it is divisible by the number (24) 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 27090370944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52769283840).

27090370944 is an abundant number, since it is smaller than the sum of its proper divisors (78448196736).

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

27090370944 is a wasteful number, since it uses less digits than its factorization.

27090370944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 27090370944 in words is "twenty-seven billion, ninety million, three hundred seventy thousand, nine hundred forty-four".