5355569664 has 400 divisors, whose sum is σ = 17037492120. Its totient is φ = 1672151040.

The previous prime is 5355569657. The next prime is 5355569707. The reversal of 5355569664 is 4669655535.

It can be written as a sum of positive squares in 4 ways, for example, as 3401222400 + 1954347264 = 58320^2 + 44208^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5355569664.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73363932 + ... + 73364004.

Almost surely, 2^5355569664 is an apocalyptic number.

5355569664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5355569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8518746060).

5355569664 is an abundant number, since it is smaller than the sum of its proper divisors (11681922456).

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

5355569664 is an equidigital number, since it uses as much as digits as its factorization.

5355569664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its digits is 14580000, while the sum is 54.

The square root of 5355569664 is about 73181.7577269090. The cubic root of 5355569664 is about 1749.5857157013.

The spelling of 5355569664 in words is "five billion, three hundred fifty-five million, five hundred sixty-nine thousand, six hundred sixty-four".