27322764480 has 672 divisors, whose sum is σ = 112633597440. Its totient is φ = 6230753280.

The previous prime is 27322764437. The next prime is 27322764481. The reversal of 27322764480 is 8446722372.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27322764481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14540181 + ... + 14542059.

It is an arithmetic number, because the mean of its divisors is an integer number (167609520).

Almost surely, 2^27322764480 is an apocalyptic number.

27322764480 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 27322764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56316798720).

27322764480 is an abundant number, since it is smaller than the sum of its proper divisors (85310832960).

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

27322764480 is a wasteful number, since it uses less digits than its factorization.

27322764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 27322764480 in words is "twenty-seven billion, three hundred twenty-two million, seven hundred sixty-four thousand, four hundred eighty".