27772644480 has 512 divisors, whose sum is σ = 104230748160. Its totient is φ = 6159089664.

The previous prime is 27772644421. The next prime is 27772644491. The reversal of 27772644480 is 8444627772.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90464487 + ... + 90464793.

It is an arithmetic number, because the mean of its divisors is an integer number (203575680).

Almost surely, 2^27772644480 is an apocalyptic number.

27772644480 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 27772644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52115374080).

27772644480 is an abundant number, since it is smaller than the sum of its proper divisors (76458103680).

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

27772644480 is a wasteful number, since it uses less digits than its factorization.

27772644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 51.

The spelling of 27772644480 in words is "twenty-seven billion, seven hundred seventy-two million, six hundred forty-four thousand, four hundred eighty".