49434240768 has 576 divisors, whose sum is σ = 160495534080. Its totient is φ = 13341081600.

The previous prime is 49434240767. The next prime is 49434240781. The reversal of 49434240768 is 86704243494.

It is a self number, because there is not a number n which added to its sum of digits gives 49434240768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49434240767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174679155 + ... + 174679437.

It is an arithmetic number, because the mean of its divisors is an integer number (278638080).

Almost surely, 2^49434240768 is an apocalyptic number.

49434240768 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 49434240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80247767040).

49434240768 is an abundant number, since it is smaller than the sum of its proper divisors (111061293312).

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

49434240768 is a wasteful number, since it uses less digits than its factorization.

49434240768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 49434240768 in words is "forty-nine billion, four hundred thirty-four million, two hundred forty thousand, seven hundred sixty-eight".