48756074724 has 576 divisors, whose sum is σ = 162363801600. Its totient is φ = 12018585600.

The previous prime is 48756074723. The next prime is 48756074813. The reversal of 48756074724 is 42747065784.

48756074724 is a `hidden beast` number, since 4 + 8 + 7 + 5 + 607 + 4 + 7 + 24 = 666.

It is not an unprimeable number, because it can be changed into a prime (48756074723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 202307244 + ... + 202307484.

It is an arithmetic number, because the mean of its divisors is an integer number (281881600).

Almost surely, 2^48756074724 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 48756074724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81181900800).

48756074724 is an abundant number, since it is smaller than the sum of its proper divisors (113607726876).

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

48756074724 is a wasteful number, since it uses less digits than its factorization.

48756074724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 48756074724 in words is "forty-eight billion, seven hundred fifty-six million, seventy-four thousand, seven hundred twenty-four".