5648127496704 has 1440 divisors, whose sum is σ = 21581302279680. Its totient is φ = 1404606873600.

The previous prime is 5648127496681. The next prime is 5648127496729. The reversal of 5648127496704 is 4076947218465.

5648127496704 is a `hidden beast` number, since 5 + 64 + 8 + 12 + 7 + 496 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8392462512 + ... + 8392463184.

It is an arithmetic number, because the mean of its divisors is an integer number (14987015472).

Almost surely, 2^{5648127496704} 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 5648127496704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10790651139840).

5648127496704 is an abundant number, since it is smaller than the sum of its proper divisors (15933174782976).

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

5648127496704 is a wasteful number, since it uses less digits than its factorization.

5648127496704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 5648127496704 in words is "five trillion, six hundred forty-eight billion, one hundred twenty-seven million, four hundred ninety-six thousand, seven hundred four".