27694981440 has 672 divisors, whose sum is σ = 113812807680. Its totient is φ = 6047612928.

The previous prime is 27694981399. The next prime is 27694981459. The reversal of 27694981440 is 4418949672.

27694981440 is a `hidden beast` number, since 2 + 7 + 6 + 9 + 498 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74249094 + ... + 74249466.

Almost surely, 2^27694981440 is an apocalyptic number.

27694981440 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 27694981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56906403840).

27694981440 is an abundant number, since it is smaller than the sum of its proper divisors (86117826240).

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

27694981440 is a wasteful number, since it uses less digits than its factorization.

27694981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 27694981440 in words is "twenty-seven billion, six hundred ninety-four million, nine hundred eighty-one thousand, four hundred forty".