27976531968 has 540 divisors, whose sum is σ = 103340211975. Its totient is φ = 7266631680.

The previous prime is 27976531909. The next prime is 27976531997. The reversal of 27976531968 is 86913567972.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

27976531968 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 6 + 531 + 96 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13988265984 + 13988265984 = 118272^2 + 118272^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=118272.

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

Its product of digits (34292160) is a multiple of the sum of its prime factors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2543321083 + ... + 2543321093.

Almost surely, 2^27976531968 is an apocalyptic number.

27976531968 is a gapful number since it is divisible by the number (28) 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 27976531968

27976531968 is an abundant number, since it is smaller than the sum of its proper divisors (75363680007).

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

27976531968 is an frugal number, since it uses more digits than its factorization.

27976531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 23 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 27976531968 in words is "twenty-seven billion, nine hundred seventy-six million, five hundred thirty-one thousand, nine hundred sixty-eight".