50449568624640 has 624 divisors, whose sum is σ = 183419090345088. Its totient is φ = 12811033903104.

The previous prime is 50449568624633. The next prime is 50449568624659. The reversal of 50449568624640 is 4642686594405.

50449568624640 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 9 + 568 + 6 + 2 + 4 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320453784 + ... + 320611176.

It is an arithmetic number, because the mean of its divisors is an integer number (293940849912).

Almost surely, 2^{50449568624640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50449568624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91709545172544).

50449568624640 is an abundant number, since it is smaller than the sum of its proper divisors (132969521720448).

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

50449568624640 is a wasteful number, since it uses less digits than its factorization.

50449568624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157512 (or 157487 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 50449568624640 in words is "fifty trillion, four hundred forty-nine billion, five hundred sixty-eight million, six hundred twenty-four thousand, six hundred forty".