27752076864576 has 343 divisors, whose sum is σ = 85516877863921. Its totient is φ = 8931702898944.

The previous prime is 27752076864541. The next prime is 27752076864583. The reversal of 27752076864576 is 67546867025772.

The square root of 27752076864576 is 5268024.

The cubic root of 27752076864576 is 30276.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

27752076864576 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 20 + 76 + 86 + 457 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11853037094976 + 15899039769600 = 3442824^2 + 3987360^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 956968167730 + ... + 956968167758.

Almost surely, 2^{27752076864576} is an apocalyptic number.

27752076864576 is the 5268024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27752076864576

27752076864576 is an abundant number, since it is smaller than the sum of its proper divisors (57764800999345).

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

27752076864576 is an frugal number, since it uses more digits than its factorization.

27752076864576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1659571200, while the sum is 72.

The spelling of 27752076864576 in words is "twenty-seven trillion, seven hundred fifty-two billion, seventy-six million, eight hundred sixty-four thousand, five hundred seventy-six".