54736412832 has 144 divisors (see below), whose sum is σ = 158055468480. Its totient is φ = 17964979200.

The previous prime is 54736412821. The next prime is 54736412893. The reversal of 54736412832 is 23821463745.

54736412832 is a `hidden beast` number, since 5 + 4 + 7 + 364 + 1 + 283 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 23084607 + ... + 23086977.

It is an arithmetic number, because the mean of its divisors is an integer number (1097607420).

Almost surely, 2^54736412832 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 54736412832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79027734240).

54736412832 is an abundant number, since it is smaller than the sum of its proper divisors (103319055648).

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

54736412832 is a wasteful number, since it uses less digits than its factorization.

54736412832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3576 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 54736412832 in words is "fifty-four billion, seven hundred thirty-six million, four hundred twelve thousand, eight hundred thirty-two".