27627325440 has 768 divisors, whose sum is σ = 109633305600. Its totient is φ = 5839257600.

The previous prime is 27627325433. The next prime is 27627325477. The reversal of 27627325440 is 4452372672.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×27627325440² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27627325392 and 27627325401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83466075 + ... + 83466405.

It is an arithmetic number, because the mean of its divisors is an integer number (142751700).

Almost surely, 2^27627325440 is an apocalyptic number.

27627325440 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 27627325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54816652800).

27627325440 is an abundant number, since it is smaller than the sum of its proper divisors (82005980160).

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

27627325440 is a wasteful number, since it uses less digits than its factorization.

27627325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 27627325440 in words is "twenty-seven billion, six hundred twenty-seven million, three hundred twenty-five thousand, four hundred forty".