5667583249440 has 192 divisors, whose sum is σ = 22670333118720. Its totient is φ = 1295447592960.

The previous prime is 5667583249411. The next prime is 5667583249637. The reversal of 5667583249440 is 449423857665.

5667583249440 is a `hidden beast` number, since 5 + 6 + 6 + 7 + 583 + 2 + 4 + 9 + 4 + 40 = 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 31 ways as a sum of consecutive naturals, for example, 93679801 + ... + 93740280.

It is an arithmetic number, because the mean of its divisors is an integer number (118074651660).

Almost surely, 2^{5667583249440} is an apocalyptic number.

It is an amenable number.

5667583249440 is an abundant number, since it is smaller than the sum of its proper divisors (17002749869280).

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

5667583249440 is a wasteful number, since it uses less digits than its factorization.

5667583249440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187420112 (or 187420098 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 5667583249440 in words is "five trillion, six hundred sixty-seven billion, five hundred eighty-three million, two hundred forty-nine thousand, four hundred forty".