27994636800 has 1200 divisors, whose sum is σ = 116898684672. Its totient is φ = 6569164800.

The previous prime is 27994636799. The next prime is 27994636847. The reversal of 27994636800 is 863649972.

It is a happy number.

27994636800 is a `hidden beast` number, since 279 + 9 + 4 + 6 + 368 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 417830367 + ... + 417830433.

Almost surely, 2^27994636800 is an apocalyptic number.

27994636800 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 27994636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58449342336).

27994636800 is an abundant number, since it is smaller than the sum of its proper divisors (88904047872).

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

27994636800 is a wasteful number, since it uses less digits than its factorization.

27994636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 27994636800 in words is "twenty-seven billion, nine hundred ninety-four million, six hundred thirty-six thousand, eight hundred".