27556064640 has 384 divisors, whose sum is σ = 102985646400. Its totient is φ = 6749208576.

The previous prime is 27556064639. The next prime is 27556064651. The reversal of 27556064640 is 4646065572.

27556064640 is a `hidden beast` number, since 2 + 7 + 5 + 560 + 6 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 17146717 + ... + 17148323.

Almost surely, 2^27556064640 is an apocalyptic number.

27556064640 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 27556064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51492823200).

27556064640 is an abundant number, since it is smaller than the sum of its proper divisors (75429581760).

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

27556064640 is a wasteful number, since it uses less digits than its factorization.

27556064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 27556064640 in words is "twenty-seven billion, five hundred fifty-six million, sixty-four thousand, six hundred forty".