27944006400 has 864 divisors, whose sum is σ = 109492992000. Its totient is φ = 6958448640.

The previous prime is 27944006351. The next prime is 27944006407. The reversal of 27944006400 is 460044972.

27944006400 is a `hidden beast` number, since 2 + 7 + 9 + 4 + 4 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27944006407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313977556 + ... + 313977644.

It is an arithmetic number, because the mean of its divisors is an integer number (126728000).

Almost surely, 2^27944006400 is an apocalyptic number.

27944006400 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 27944006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54746496000).

27944006400 is an abundant number, since it is smaller than the sum of its proper divisors (81548985600).

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

27944006400 is a wasteful number, since it uses less digits than its factorization.

27944006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 27944006400 in words is "twenty-seven billion, nine hundred forty-four million, six thousand, four hundred".