635585664 has 192 divisors, whose sum is σ = 2080481760. Its totient is φ = 170827776.

The previous prime is 635585633. The next prime is 635585683. The reversal of 635585664 is 466585536.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318879 + ... + 320865.

Almost surely, 2^635585664 is an apocalyptic number.

635585664 is a gapful number since it is divisible by the number (64) 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 635585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040240880).

635585664 is an abundant number, since it is smaller than the sum of its proper divisors (1444896096).

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

635585664 is a wasteful number, since it uses less digits than its factorization.

635585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2016 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 48.

The square root of 635585664 is about 25210.8243419369. The cubic root of 635585664 is about 859.7879700835.

The spelling of 635585664 in words is "six hundred thirty-five million, five hundred eighty-five thousand, six hundred sixty-four".