55633617632 has 96 divisors (see below), whose sum is σ = 115279718400. Its totient is φ = 26392923648.

The previous prime is 55633617583. The next prime is 55633617653. The reversal of 55633617632 is 23671633655.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16640153 + ... + 16643495.

It is an arithmetic number, because the mean of its divisors is an integer number (1200830400).

Almost surely, 2^55633617632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55633617632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57639859200).

55633617632 is an abundant number, since it is smaller than the sum of its proper divisors (59646100768).

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

55633617632 is a wasteful number, since it uses less digits than its factorization.

55633617632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3680 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 47.

The spelling of 55633617632 in words is "fifty-five billion, six hundred thirty-three million, six hundred seventeen thousand, six hundred thirty-two".