5627198385648 has 1600 divisors, whose sum is σ = 21355478876160. Its totient is φ = 1392860012544.

The previous prime is 5627198385637. The next prime is 5627198385649. The reversal of 5627198385648 is 8465838917265.

5627198385648 is a `hidden beast` number, since 5 + 6 + 27 + 1 + 9 + 8 + 38 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5627198385649) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12049675111 + ... + 12049675577.

Almost surely, 2^{5627198385648} 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 5627198385648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10677739438080).

5627198385648 is an abundant number, since it is smaller than the sum of its proper divisors (15728280490512).

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

5627198385648 is a wasteful number, since it uses less digits than its factorization.

5627198385648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 641 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 5627198385648 in words is "five trillion, six hundred twenty-seven billion, one hundred ninety-eight million, three hundred eighty-five thousand, six hundred forty-eight".