55682629632 has 576 divisors, whose sum is σ = 196058700240. Its totient is φ = 15479341056.

The previous prime is 55682629559. The next prime is 55682629649. The reversal of 55682629632 is 23692628655.

55682629632 is a `hidden beast` number, since 5 + 5 + 6 + 8 + 2 + 629 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1504935918 + ... + 1504935954.

Almost surely, 2^55682629632 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 55682629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98029350120).

55682629632 is an abundant number, since it is smaller than the sum of its proper divisors (140376070608).

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

55682629632 is an frugal number, since it uses more digits than its factorization.

55682629632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 55682629632 in words is "fifty-five billion, six hundred eighty-two million, six hundred twenty-nine thousand, six hundred thirty-two".