27320315904 has 208 divisors, whose sum is σ = 92504567040. Its totient is φ = 7805583360.

The previous prime is 27320315861. The next prime is 27320315909. The reversal of 27320315904 is 40951302372.

27320315904 is a `hidden beast` number, since 2 + 7 + 32 + 0 + 31 + 590 + 4 = 666.

It is a super-2 number, since 2×27320315904² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27320315909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756499 + ... + 791789.

Almost surely, 2^27320315904 is an apocalyptic number.

27320315904 is a gapful number since it is divisible by the number (24) 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 27320315904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46252283520).

27320315904 is an abundant number, since it is smaller than the sum of its proper divisors (65184251136).

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

27320315904 is an equidigital number, since it uses as much as digits as its factorization.

27320315904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35331 (or 35303 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 27320315904 in words is "twenty-seven billion, three hundred twenty million, three hundred fifteen thousand, nine hundred four".