27664795620 has 384 divisors, whose sum is σ = 109808455680. Its totient is φ = 5614479360.

The previous prime is 27664795607. The next prime is 27664795651. The reversal of 27664795620 is 2659746672.

27664795620 is a `hidden beast` number, since 2 + 7 + 6 + 6 + 4 + 7 + 9 + 5 + 620 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1780204 + ... + 1795676.

It is an arithmetic number, because the mean of its divisors is an integer number (285959520).

Almost surely, 2^27664795620 is an apocalyptic number.

27664795620 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 27664795620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54904227840).

27664795620 is an abundant number, since it is smaller than the sum of its proper divisors (82143660060).

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

27664795620 is a wasteful number, since it uses less digits than its factorization.

27664795620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15552 (or 15544 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 27664795620 in words is "twenty-seven billion, six hundred sixty-four million, seven hundred ninety-five thousand, six hundred twenty".