27450031472640 has 1760 divisors, whose sum is σ = 118879297701120. Its totient is φ = 5944066965504.

The previous prime is 27450031472599. The next prime is 27450031472671. The reversal of 27450031472640 is 4627413005472.

27450031472640 is a `hidden beast` number, since 2 + 7 + 4 + 500 + 3 + 14 + 72 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1444738498551 + ... + 1444738498569.

It is an arithmetic number, because the mean of its divisors is an integer number (67545055512).

Almost surely, 2^{27450031472640} is an apocalyptic number.

27450031472640 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 27450031472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439648850560).

27450031472640 is an abundant number, since it is smaller than the sum of its proper divisors (91429266228480).

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

27450031472640 is an frugal number, since it uses more digits than its factorization.

27450031472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 27450031472640 in words is "twenty-seven trillion, four hundred fifty billion, thirty-one million, four hundred seventy-two thousand, six hundred forty".