49728277584 has 120 divisors (see below), whose sum is σ = 140743819944. Its totient is φ = 16389120000.

The previous prime is 49728277559. The next prime is 49728277601. The reversal of 49728277584 is 48577282794.

49728277584 is a `hidden beast` number, since 4 + 9 + 7 + 28 + 27 + 7 + 584 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14706897984 + 35021379600 = 121272^2 + 187140^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12811324 + ... + 12815204.

Almost surely, 2^49728277584 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 49728277584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70371909972).

49728277584 is an abundant number, since it is smaller than the sum of its proper divisors (91015542360).

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

49728277584 is a wasteful number, since it uses less digits than its factorization.

49728277584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4868 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 49728277584 in words is "forty-nine billion, seven hundred twenty-eight million, two hundred seventy-seven thousand, five hundred eighty-four".