5670905365440 has 504 divisors, whose sum is σ = 22713907939632. Its totient is φ = 1294848737280.

The previous prime is 5670905365409. The next prime is 5670905365441. The reversal of 5670905365440 is 445635090765.

5670905365440 is a `hidden beast` number, since 5 + 6 + 7 + 0 + 90 + 5 + 3 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5670905365441) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 137853675 + ... + 137894805.

It is an arithmetic number, because the mean of its divisors is an integer number (45067277658).

Almost surely, 2^{5670905365440} 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 5670905365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11356953969816).

5670905365440 is an abundant number, since it is smaller than the sum of its proper divisors (17043002574192).

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

5670905365440 is a wasteful number, since it uses less digits than its factorization.

5670905365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42145 (or 42125 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 5670905365440 in words is "five trillion, six hundred seventy billion, nine hundred five million, three hundred sixty-five thousand, four hundred forty".