5647657872384 has 660 divisors, whose sum is σ = 18604172813688. Its totient is φ = 1692455731200.

The previous prime is 5647657872349. The next prime is 5647657872421. The reversal of 5647657872384 is 4832787567465.

5647657872384 is a `hidden beast` number, since 5 + 6 + 47 + 6 + 578 + 7 + 2 + 3 + 8 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10840034044 + ... + 10840034564.

Almost surely, 2^{5647657872384} is an apocalyptic number.

5647657872384 is a gapful number since it is divisible by the number (54) 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 5647657872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302086406844).

5647657872384 is an abundant number, since it is smaller than the sum of its proper divisors (12956514941304).

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

5647657872384 is a wasteful number, since it uses less digits than its factorization.

5647657872384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 646 counting only the distinct ones).

The product of its digits is 1896652800, while the sum is 72.

The spelling of 5647657872384 in words is "five trillion, six hundred forty-seven billion, six hundred fifty-seven million, eight hundred seventy-two thousand, three hundred eighty-four".