49724983296 has 576 divisors, whose sum is σ = 161761017600. Its totient is φ = 15078555648.

The previous prime is 49724983271. The next prime is 49724983307. The reversal of 49724983296 is 69238942794.

49724983296 is a `hidden beast` number, since 49 + 72 + 498 + 32 + 9 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 938207206 + ... + 938207258.

It is an arithmetic number, because the mean of its divisors is an integer number (280835100).

Almost surely, 2^49724983296 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 49724983296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80880508800).

49724983296 is an abundant number, since it is smaller than the sum of its proper divisors (112036034304).

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

49724983296 is a wasteful number, since it uses less digits than its factorization.

49724983296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 124 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

It can be divided in two parts, 4972498 and 3296, that added together give a palindrome (4975794).

The spelling of 49724983296 in words is "forty-nine billion, seven hundred twenty-four million, nine hundred eighty-three thousand, two hundred ninety-six".