27621474048 has 648 divisors, whose sum is σ = 99358022400. Its totient is φ = 7336562688.

The previous prime is 27621474031. The next prime is 27621474079. The reversal of 27621474048 is 84047412672.

27621474048 is a `hidden beast` number, since 27 + 6 + 214 + 7 + 404 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27621473994 and 27621474012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169456815 + ... + 169456977.

Almost surely, 2^27621474048 is an apocalyptic number.

27621474048 is a gapful number since it is divisible by the number (28) 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 27621474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49679011200).

27621474048 is an abundant number, since it is smaller than the sum of its proper divisors (71736548352).

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

27621474048 is a wasteful number, since it uses less digits than its factorization.

27621474048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 27621474048 in words is "twenty-seven billion, six hundred twenty-one million, four hundred seventy-four thousand, forty-eight".