4503635664 has 80 divisors (see below), whose sum is σ = 13360097280. Its totient is φ = 1292906880.

The previous prime is 4503635641. The next prime is 4503635677. The reversal of 4503635664 is 4665363054.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214432 + ... + 234495.

It is an arithmetic number, because the mean of its divisors is an integer number (167001216).

Almost surely, 2^4503635664 is an apocalyptic number.

4503635664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4503635664 is an abundant number, since it is smaller than the sum of its proper divisors (8856461616).

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

4503635664 is a wasteful number, since it uses less digits than its factorization.

4503635664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448968 (or 448962 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The square root of 4503635664 is about 67109.1324932755. The cubic root of 4503635664 is about 1651.4081232071.

The spelling of 4503635664 in words is "four billion, five hundred three million, six hundred thirty-five thousand, six hundred sixty-four".