27636396480 has 1120 divisors, whose sum is σ = 125123277312. Its totient is φ = 5623603200.

The previous prime is 27636396433. The next prime is 27636396493. The reversal of 27636396480 is 8469363672.

27636396480 is a `hidden beast` number, since 2 + 76 + 3 + 6 + 3 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 121746127 + ... + 121746353.

Almost surely, 2^27636396480 is an apocalyptic number.

27636396480 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 27636396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62561638656).

27636396480 is an abundant number, since it is smaller than the sum of its proper divisors (97486880832).

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

27636396480 is a wasteful number, since it uses less digits than its factorization.

27636396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 27636396480 in words is "twenty-seven billion, six hundred thirty-six million, three hundred ninety-six thousand, four hundred eighty".