5664145637024 has 192 divisors, whose sum is σ = 13586617804032. Its totient is φ = 2269049241600.

The previous prime is 5664145637011. The next prime is 5664145637027. The reversal of 5664145637024 is 4207365414665.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5664145637027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558975062 + ... + 558985194.

It is an arithmetic number, because the mean of its divisors is an integer number (70763634396).

Almost surely, 2^{5664145637024} 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 5664145637024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793308902016).

5664145637024 is an abundant number, since it is smaller than the sum of its proper divisors (7922472167008).

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

5664145637024 is a wasteful number, since it uses less digits than its factorization.

5664145637024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11159 (or 11151 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 53.

The spelling of 5664145637024 in words is "five trillion, six hundred sixty-four billion, one hundred forty-five million, six hundred thirty-seven thousand, twenty-four".