27672456330 has 128 divisors (see below), whose sum is σ = 77990169600. Its totient is φ = 6962760000.

The previous prime is 27672456323. The next prime is 27672456337. The reversal of 27672456330 is 3365427672.

27672456330 is a `hidden beast` number, since 2 + 7 + 6 + 7 + 2 + 4 + 5 + 633 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27672456323) and next prime (27672456337).

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 not an unprimeable number, because it can be changed into a prime (27672456337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1276885 + ... + 1298375.

It is an arithmetic number, because the mean of its divisors is an integer number (609298200).

Almost surely, 2^27672456330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27672456330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38995084800).

27672456330 is an abundant number, since it is smaller than the sum of its proper divisors (50317713270).

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

27672456330 is a wasteful number, since it uses less digits than its factorization.

27672456330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21777 (or 21771 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 27672456330 in words is "twenty-seven billion, six hundred seventy-two million, four hundred fifty-six thousand, three hundred thirty".