27967420800 has 960 divisors, whose sum is σ = 119417736240. Its totient is φ = 6370099200.

The previous prime is 27967420781. The next prime is 27967420807. The reversal of 27967420800 is 802476972.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27967420807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48470112 + ... + 48470688.

Almost surely, 2^27967420800 is an apocalyptic number.

27967420800 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 27967420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59708868120).

27967420800 is an abundant number, since it is smaller than the sum of its proper divisors (91450315440).

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

27967420800 is a wasteful number, since it uses less digits than its factorization.

27967420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27967420800 in words is "twenty-seven billion, nine hundred sixty-seven million, four hundred twenty thousand, eight hundred".