49984096320 has 336 divisors, whose sum is σ = 184356207360. Its totient is φ = 12385271808.

The previous prime is 49984096243. The next prime is 49984096333. The reversal of 49984096320 is 2369048994.

49984096320 is a `hidden beast` number, since 499 + 8 + 40 + 96 + 3 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3861379 + ... + 3874301.

Almost surely, 2^49984096320 is an apocalyptic number.

49984096320 is a gapful number since it is divisible by the number (40) 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 49984096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92178103680).

49984096320 is an abundant number, since it is smaller than the sum of its proper divisors (134372111040).

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

49984096320 is a wasteful number, since it uses less digits than its factorization.

49984096320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13042 (or 13029 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 49984096320 in words is "forty-nine billion, nine hundred eighty-four million, ninety-six thousand, three hundred twenty".