27725639040 has 768 divisors, whose sum is σ = 114146323200. Its totient is φ = 6360145920.

The previous prime is 27725638987. The next prime is 27725639057. The reversal of 27725639040 is 4093652772.

27725639040 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 5 + 639 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×27725639040² (a number of 22 digits) contains 22 as substring.

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

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, 32503254 + ... + 32504106.

It is an arithmetic number, because the mean of its divisors is an integer number (148628025).

Almost surely, 2^27725639040 is an apocalyptic number.

27725639040 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 27725639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57073161600).

27725639040 is an abundant number, since it is smaller than the sum of its proper divisors (86420684160).

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

27725639040 is a wasteful number, since it uses less digits than its factorization.

27725639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 27725639040 in words is "twenty-seven billion, seven hundred twenty-five million, six hundred thirty-nine thousand, forty".