27976636396800 has 4860 divisors, whose sum is σ = 137556889858080. Its totient is φ = 5592091115520.

The previous prime is 27976636396789. The next prime is 27976636396801. The reversal of 27976636396800 is 869363667972.

It is a happy number.

27976636396800 is a `hidden beast` number, since 2 + 79 + 7 + 66 + 36 + 396 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27976636396801) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 1472454547191 + ... + 1472454547209.

Almost surely, 2^{27976636396800} is an apocalyptic number.

27976636396800 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 27976636396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68778444929040).

27976636396800 is an abundant number, since it is smaller than the sum of its proper divisors (109580253461280).

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

27976636396800 is an frugal number, since it uses more digits than its factorization.

27976636396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 740710656, while the sum is 72.

The spelling of 27976636396800 in words is "twenty-seven trillion, nine hundred seventy-six billion, six hundred thirty-six million, three hundred ninety-six thousand, eight hundred".