5648270823468 has 768 divisors, whose sum is σ = 19270795264000. Its totient is φ = 1419832592640.

The previous prime is 5648270823457. The next prime is 5648270823473. The reversal of 5648270823468 is 8643280728465.

5648270823468 is a `hidden beast` number, since 5 + 6 + 4 + 82 + 70 + 8 + 23 + 468 = 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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1000222221 + ... + 1000227867.

Almost surely, 2^{5648270823468} 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 5648270823468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9635397632000).

5648270823468 is an abundant number, since it is smaller than the sum of its proper divisors (13622524440532).

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

5648270823468 is a wasteful number, since it uses less digits than its factorization.

5648270823468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 5648270823468 in words is "five trillion, six hundred forty-eight billion, two hundred seventy million, eight hundred twenty-three thousand, four hundred sixty-eight".