5067441640800 has 3456 divisors, whose sum is σ = 24971349731328. Its totient is φ = 934281216000.

The previous prime is 5067441640799. The next prime is 5067441640819. The reversal of 5067441640800 is 80461447605.

5067441640800 is a `hidden beast` number, since 50 + 6 + 74 + 416 + 40 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 21026728680 + ... + 21026728920.

It is an arithmetic number, because the mean of its divisors is an integer number (7225506288).

Almost surely, 2^{5067441640800} is an apocalyptic number.

5067441640800 is a gapful number since it is divisible by the number (50) 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 5067441640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12485674865664).

5067441640800 is an abundant number, since it is smaller than the sum of its proper divisors (19903908090528).

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

5067441640800 is a wasteful number, since it uses less digits than its factorization.

5067441640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 5067441640800 in words is "five trillion, sixty-seven billion, four hundred forty-one million, six hundred forty thousand, eight hundred".