49992432768 has 384 divisors, whose sum is σ = 162509256000. Its totient is φ = 15237476352.

The previous prime is 49992432731. The next prime is 49992432769. The reversal of 49992432768 is 86723429994.

49992432768 is a `hidden beast` number, since 49 + 9 + 92 + 432 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (49992432769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17136846 + ... + 17139762.

Almost surely, 2^49992432768 is an apocalyptic number.

49992432768 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 49992432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81254628000).

49992432768 is an abundant number, since it is smaller than the sum of its proper divisors (112516823232).

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

49992432768 is a wasteful number, since it uses less digits than its factorization.

49992432768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2970 counting only the distinct ones).

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

The spelling of 49992432768 in words is "forty-nine billion, nine hundred ninety-two million, four hundred thirty-two thousand, seven hundred sixty-eight".