4341755664 has 225 divisors, whose sum is σ = 13625559363. Its totient is φ = 1290428928.

The previous prime is 4341755659. The next prime is 4341755669. The reversal of 4341755664 is 4665571434.

The square root of 4341755664 is 65892.

It is a perfect power (a square), and thus also a powerful number.

4341755664 is a `hidden beast` number, since 4 + 34 + 1 + 7 + 556 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (4341755659) and next prime (4341755669).

It can be written as a sum of positive squares in 2 ways, for example, as 1347477264 + 2994278400 = 36708^2 + 54720^2 .

Its product of digits (1209600) is a multiple of the sum of its prime factors (120).

It is not an unprimeable number, because it can be changed into a prime (4341755669) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 228513447 + ... + 228513465.

Almost surely, 2^4341755664 is an apocalyptic number.

4341755664 is the 65892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4341755664

4341755664 is an abundant number, since it is smaller than the sum of its proper divisors (9283803699).

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

4341755664 is an equidigital number, since it uses as much as digits as its factorization.

4341755664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 41 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The cubic root of 4341755664 is about 1631.3799728033.

The spelling of 4341755664 in words is "four billion, three hundred forty-one million, seven hundred fifty-five thousand, six hundred sixty-four".