49424124672 has 576 divisors, whose sum is σ = 163509534720. Its totient is φ = 14631321600.

The previous prime is 49424124653. The next prime is 49424124679. The reversal of 49424124672 is 27642142494.

49424124672 is a `hidden beast` number, since 49 + 424 + 124 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (49424124679) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 389166273 + ... + 389166399.

It is an arithmetic number, because the mean of its divisors is an integer number (283870720).

Almost surely, 2^49424124672 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 49424124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81754767360).

49424124672 is an abundant number, since it is smaller than the sum of its proper divisors (114085410048).

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

49424124672 is a wasteful number, since it uses less digits than its factorization.

49424124672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 49424124672 in words is "forty-nine billion, four hundred twenty-four million, one hundred twenty-four thousand, six hundred seventy-two".