7327827648 has 280 divisors, whose sum is σ = 22792334400. Its totient is φ = 2324754432.

The previous prime is 7327827631. The next prime is 7327827653. The reversal of 7327827648 is 8467287237.

7327827648 is a `hidden beast` number, since 7 + 327 + 8 + 276 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7327827594 and 7327827603.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11876236 + ... + 11876852.

Almost surely, 2^7327827648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7327827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11396167200).

7327827648 is an abundant number, since it is smaller than the sum of its proper divisors (15464506752).

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

7327827648 is a wasteful number, since it uses less digits than its factorization.

7327827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 730 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 7327827648 is about 85602.7315452025. The cubic root of 7327827648 is about 1942.3392308918.

The spelling of 7327827648 in words is "seven billion, three hundred twenty-seven million, eight hundred twenty-seven thousand, six hundred forty-eight".