27078740640 has 360 divisors, whose sum is σ = 111170508372. Its totient is φ = 6189281280.

The previous prime is 27078740639. The next prime is 27078740659. The reversal of 27078740640 is 4604787072.

It can be written as a sum of positive squares in 2 ways, for example, as 27078677136 + 63504 = 164556^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

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 59 ways as a sum of consecutive naturals, for example, 613720 + ... + 656360.

Almost surely, 2^27078740640 is an apocalyptic number.

27078740640 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 27078740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55585254186).

27078740640 is an abundant number, since it is smaller than the sum of its proper divisors (84091767732).

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

27078740640 is a wasteful number, since it uses less digits than its factorization.

27078740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42682 (or 42658 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 27078740640 in words is "twenty-seven billion, seventy-eight million, seven hundred forty thousand, six hundred forty".