49742600544 has 288 divisors, whose sum is σ = 174409784640. Its totient is φ = 13095530496.

The previous prime is 49742600543. The next prime is 49742600563. The reversal of 49742600544 is 44500624794.

49742600544 is a `hidden beast` number, since 4 + 9 + 7 + 42 + 60 + 0 + 544 = 666.

49742600544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 49742600544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49742600543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18580134 + ... + 18582810.

It is an arithmetic number, because the mean of its divisors is an integer number (605589530).

Almost surely, 2^49742600544 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 49742600544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87204892320).

49742600544 is an abundant number, since it is smaller than the sum of its proper divisors (124667184096).

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

49742600544 is a wasteful number, since it uses less digits than its factorization.

49742600544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3411 counting only the distinct ones).

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

The spelling of 49742600544 in words is "forty-nine billion, seven hundred forty-two million, six hundred thousand, five hundred forty-four".