5641064600640 has 280 divisors, whose sum is σ = 20894208737280. Its totient is φ = 1289385667584.

The previous prime is 5641064600629. The next prime is 5641064600641. The reversal of 5641064600640 is 460064601465.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5641064600592 and 5641064600601.

It is not an unprimeable number, because it can be changed into a prime (5641064600641) 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 39 ways as a sum of consecutive naturals, for example, 1081281 + ... + 3528639.

Almost surely, 2^{5641064600640} 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 5641064600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10447104368640).

5641064600640 is an abundant number, since it is smaller than the sum of its proper divisors (15253144136640).

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

5641064600640 is an equidigital number, since it uses as much as digits as its factorization.

5641064600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447407 (or 2447376 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 5641064600640 in words is "five trillion, six hundred forty-one billion, sixty-four million, six hundred thousand, six hundred forty".