27642823740 has 216 divisors, whose sum is σ = 102673967760. Its totient is φ = 5985778176.

The previous prime is 27642823709. The next prime is 27642823799. The reversal of 27642823740 is 4732824672.

27642823740 is a `hidden beast` number, since 276 + 4 + 2 + 8 + 2 + 374 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 85104 + ... + 250056.

Almost surely, 2^27642823740 is an apocalyptic number.

27642823740 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 27642823740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51336983880).

27642823740 is an abundant number, since it is smaller than the sum of its proper divisors (75031144020).

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

27642823740 is a wasteful number, since it uses less digits than its factorization.

27642823740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165001 (or 164989 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 27642823740 in words is "twenty-seven billion, six hundred forty-two million, eight hundred twenty-three thousand, seven hundred forty".