49920091784640 has 3024 divisors, whose sum is σ = 233727746863104. Its totient is φ = 10031338598400.

The previous prime is 49920091784621. The next prime is 49920091784653. The reversal of 49920091784640 is 4648719002994.

49920091784640 is a `hidden beast` number, since 499 + 2 + 0 + 0 + 9 + 1 + 7 + 84 + 64 + 0 = 666.

49920091784640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 35080878969 + ... + 35080880391.

Almost surely, 2^{49920091784640} is an apocalyptic number.

49920091784640 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 49920091784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116863873431552).

49920091784640 is an abundant number, since it is smaller than the sum of its proper divisors (183807655078464).

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

49920091784640 is a wasteful number, since it uses less digits than its factorization.

49920091784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 49920091784640 in words is "forty-nine trillion, nine hundred twenty billion, ninety-one million, seven hundred eighty-four thousand, six hundred forty".