27247363681440 has 768 divisors, whose sum is σ = 102268138291200. Its totient is φ = 6093945446400.

The previous prime is 27247363681429. The next prime is 27247363681553. The reversal of 27247363681440 is 4418636374272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1526368515 + ... + 1526386365.

It is an arithmetic number, because the mean of its divisors is an integer number (133161638400).

Almost surely, 2^{27247363681440} is an apocalyptic number.

27247363681440 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 27247363681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51134069145600).

27247363681440 is an abundant number, since it is smaller than the sum of its proper divisors (75020774609760).

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

27247363681440 is a wasteful number, since it uses less digits than its factorization.

27247363681440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18090 (or 18068 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 57.

The spelling of 27247363681440 in words is "twenty-seven trillion, two hundred forty-seven billion, three hundred sixty-three million, six hundred eighty-one thousand, four hundred forty".