27646405920 has 384 divisors, whose sum is σ = 113579020800. Its totient is φ = 6148141056.

The previous prime is 27646405901. The next prime is 27646405949. The reversal of 27646405920 is 2950464672.

It is a super-2 number, since 2×27646405920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 1106526 + ... + 1131234.

It is an arithmetic number, because the mean of its divisors is an integer number (295778700).

Almost surely, 2^27646405920 is an apocalyptic number.

27646405920 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 27646405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56789510400).

27646405920 is an abundant number, since it is smaller than the sum of its proper divisors (85932614880).

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

27646405920 is a wasteful number, since it uses less digits than its factorization.

27646405920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24777 (or 24763 counting only the distinct ones).

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

The spelling of 27646405920 in words is "twenty-seven billion, six hundred forty-six million, four hundred five thousand, nine hundred twenty".