27633415680 has 1120 divisors, whose sum is σ = 114962579424. Its totient is φ = 6306398208.

The previous prime is 27633415651. The next prime is 27633415721. The reversal of 27633415680 is 8651433672.

27633415680 is a `hidden beast` number, since 2 + 7 + 633 + 4 + 1 + 5 + 6 + 8 + 0 = 666.

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 111 ways as a sum of consecutive naturals, for example, 412439007 + ... + 412439073.

Almost surely, 2^27633415680 is an apocalyptic number.

27633415680 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 27633415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57481289712).

27633415680 is an abundant number, since it is smaller than the sum of its proper divisors (87329163744).

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

27633415680 is an equidigital number, since it uses as much as digits as its factorization.

27633415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 27633415680 in words is "twenty-seven billion, six hundred thirty-three million, four hundred fifteen thousand, six hundred eighty".