49595712768 has 432 divisors, whose sum is σ = 177989884800. Its totient is φ = 12959170560.

The previous prime is 49595712763. The next prime is 49595712781. The reversal of 49595712768 is 86721759594.

49595712768 is a `hidden beast` number, since 4 + 9 + 59 + 571 + 2 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49595712763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8883738 + ... + 8889318.

Almost surely, 2^49595712768 is an apocalyptic number.

49595712768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49595712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88994942400).

49595712768 is an abundant number, since it is smaller than the sum of its proper divisors (128394172032).

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

49595712768 is a wasteful number, since it uses less digits than its factorization.

49595712768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5641 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 49595712768 in words is "forty-nine billion, five hundred ninety-five million, seven hundred twelve thousand, seven hundred sixty-eight".