27977636413440 has 768 divisors, whose sum is σ = 111028411353600. Its totient is φ = 6384198352896.

The previous prime is 27977636413421. The next prime is 27977636413453. The reversal of 27977636413440 is 4431463677972.

27977636413440 is a `hidden beast` number, since 2 + 7 + 9 + 77 + 63 + 64 + 1 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×27977636413440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7318239369 + ... + 7318243191.

It is an arithmetic number, because the mean of its divisors is an integer number (144568243950).

Almost surely, 2^{27977636413440} is an apocalyptic number.

27977636413440 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 27977636413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55514205676800).

27977636413440 is an abundant number, since it is smaller than the sum of its proper divisors (83050774940160).

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

27977636413440 is an equidigital number, since it uses as much as digits as its factorization.

27977636413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 63.

The spelling of 27977636413440 in words is "twenty-seven trillion, nine hundred seventy-seven billion, six hundred thirty-six million, four hundred thirteen thousand, four hundred forty".