55761361632 has 324 divisors, whose sum is σ = 175107998520. Its totient is φ = 17474724864.

The previous prime is 55761361613. The next prime is 55761361657. The reversal of 55761361632 is 23616316755.

55761361632 is a `hidden beast` number, since 5 + 5 + 7 + 6 + 1 + 3 + 6 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 60675669 + ... + 60676587.

Almost surely, 2^55761361632 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 55761361632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87553999260).

55761361632 is an abundant number, since it is smaller than the sum of its proper divisors (119346636888).

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

55761361632 is an frugal number, since it uses more digits than its factorization.

55761361632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 941 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 55761361632 in words is "fifty-five billion, seven hundred sixty-one million, three hundred sixty-one thousand, six hundred thirty-two".