635904000000 has 952 divisors, whose sum is σ = 2457549792960. Its totient is φ = 162201600000.

The previous prime is 635903999947. The next prime is 635904000007. The reversal of 635904000000 is 409536.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (635904000007) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 27647999989 + ... + 27648000011.

Almost surely, 2^635904000000 is an apocalyptic number.

635904000000 is a gapful number since it is divisible by the number (60) 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 635904000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228774896480).

635904000000 is an abundant number, since it is smaller than the sum of its proper divisors (1821645792960).

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

635904000000 is an frugal number, since it uses more digits than its factorization.

635904000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 635904000000 its reverse (409536), we get a palindrome (635904409536).

The spelling of 635904000000 in words is "six hundred thirty-five billion, nine hundred four million", and thus it is an aban number.