27362093640 has 256 divisors, whose sum is σ = 99475776000. Its totient is φ = 5877743616.

The previous prime is 27362093599. The next prime is 27362093653. The reversal of 27362093640 is 4639026372.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 27362093592 and 27362093601.

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 63 ways as a sum of consecutive naturals, for example, 17663586 + ... + 17665134.

It is an arithmetic number, because the mean of its divisors is an integer number (388577250).

Almost surely, 2^27362093640 is an apocalyptic number.

27362093640 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 27362093640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49737888000).

27362093640 is an abundant number, since it is smaller than the sum of its proper divisors (72113682360).

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

27362093640 is a wasteful number, since it uses less digits than its factorization.

27362093640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 27362093640 in words is "twenty-seven billion, three hundred sixty-two million, ninety-three thousand, six hundred forty".