27681392640 has 384 divisors, whose sum is σ = 97551941760. Its totient is φ = 6700728320.

The previous prime is 27681392611. The next prime is 27681392693. The reversal of 27681392640 is 4629318672.

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

It is a super-3 number, since 3×27681392640³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27681392640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40887982 + ... + 40888658.

It is an arithmetic number, because the mean of its divisors is an integer number (254041515).

Almost surely, 2^27681392640 is an apocalyptic number.

27681392640 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 27681392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48775970880).

27681392640 is an abundant number, since it is smaller than the sum of its proper divisors (69870549120).

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

27681392640 is an equidigital number, since it uses as much as digits as its factorization.

27681392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 27681392640 in words is "twenty-seven billion, six hundred eighty-one million, three hundred ninety-two thousand, six hundred forty".