27625707240 has 128 divisors (see below), whose sum is σ = 83525904000. Its totient is φ = 7309380608.

The previous prime is 27625707233. The next prime is 27625707247. The reversal of 27625707240 is 4270752672.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27625707233) and next prime (27625707247).

It is a junction number, because it is equal to n+sod(n) for n = 27625707192 and 27625707201.

It is not an unprimeable number, because it can be changed into a prime (27625707247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11963206 + ... + 11965514.

It is an arithmetic number, because the mean of its divisors is an integer number (652546125).

Almost surely, 2^27625707240 is an apocalyptic number.

27625707240 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 27625707240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41762952000).

27625707240 is an abundant number, since it is smaller than the sum of its proper divisors (55900196760).

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

27625707240 is a wasteful number, since it uses less digits than its factorization.

27625707240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The spelling of 27625707240 in words is "twenty-seven billion, six hundred twenty-five million, seven hundred seven thousand, two hundred forty".