27427055040 has 672 divisors, whose sum is σ = 118286198784. Its totient is φ = 5666734080.

The previous prime is 27427055023. The next prime is 27427055081. The reversal of 27427055040 is 4055072472.

It is a happy number.

27427055040 is a `hidden beast` number, since 27 + 42 + 7 + 0 + 550 + 40 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 27427054986 and 27427055004.

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, 74732937 + ... + 74733303.

Almost surely, 2^27427055040 is an apocalyptic number.

27427055040 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 27427055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59143099392).

27427055040 is an abundant number, since it is smaller than the sum of its proper divisors (90859143744).

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

27427055040 is a wasteful number, since it uses less digits than its factorization.

27427055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 27427055040 in words is "twenty-seven billion, four hundred twenty-seven million, fifty-five thousand, forty".