5606873270784 has 400 divisors, whose sum is σ = 17733587305896. Its totient is φ = 1757616537600.

The previous prime is 5606873270759. The next prime is 5606873270809. The reversal of 5606873270784 is 4870723786065.

5606873270784 is a `hidden beast` number, since 560 + 68 + 7 + 3 + 2 + 7 + 0 + 7 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5606873270759) and next prime (5606873270809).

It can be written as a sum of positive squares in 4 ways, for example, as 5417125910784 + 189747360000 = 2327472^2 + 435600^2 .

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, 1213343994 + ... + 1213348614.

Almost surely, 2^{5606873270784} is an apocalyptic number.

5606873270784 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 5606873270784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8866793652948).

5606873270784 is an abundant number, since it is smaller than the sum of its proper divisors (12126714035112).

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

5606873270784 is a wasteful number, since it uses less digits than its factorization.

5606873270784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 5606873270784 in words is "five trillion, six hundred six billion, eight hundred seventy-three million, two hundred seventy thousand, seven hundred eighty-four".