54726884640 has 144 divisors (see below), whose sum is σ = 186932648448. Its totient is φ = 14579993088.

The previous prime is 54726884633. The next prime is 54726884651. The reversal of 54726884640 is 4648862745.

It is a happy number.

54726884640 is a `hidden beast` number, since 54 + 72 + 68 + 8 + 464 + 0 = 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, 1547799 + ... + 1582761.

It is an arithmetic number, because the mean of its divisors is an integer number (1298143392).

Almost surely, 2^54726884640 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 54726884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93466324224).

54726884640 is an abundant number, since it is smaller than the sum of its proper divisors (132205763808).

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

54726884640 is a wasteful number, since it uses less digits than its factorization.

54726884640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36071 (or 36060 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 54726884640 in words is "fifty-four billion, seven hundred twenty-six million, eight hundred eighty-four thousand, six hundred forty".