27669647040 has 448 divisors, whose sum is σ = 106427381760. Its totient is φ = 5955747840.

The previous prime is 27669647023. The next prime is 27669647041. The reversal of 27669647040 is 4074696672.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (27669647041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7988349 + ... + 7991811.

It is an arithmetic number, because the mean of its divisors is an integer number (237561120).

Almost surely, 2^27669647040 is an apocalyptic number.

27669647040 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 27669647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53213690880).

27669647040 is an abundant number, since it is smaller than the sum of its proper divisors (78757734720).

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

27669647040 is a wasteful number, since it uses less digits than its factorization.

27669647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 27669647040 in words is "twenty-seven billion, six hundred sixty-nine million, six hundred forty-seven thousand, forty".