5643758419200 has 2592 divisors, whose sum is σ = 24881674137600. Its totient is φ = 1236695040000.

The previous prime is 5643758419199. The next prime is 5643758419237. The reversal of 5643758419200 is 29148573465.

It is a happy number.

5643758419200 is a `hidden beast` number, since 5 + 6 + 4 + 37 + 584 + 1 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 79489555165 + ... + 79489555235.

It is a 1-persistent number, because it is pandigital, but 2⋅5643758419200 = 11287516838400 is not.

Almost surely, 2^{5643758419200} is an apocalyptic number.

5643758419200 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 5643758419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12440837068800).

5643758419200 is an abundant number, since it is smaller than the sum of its proper divisors (19237915718400).

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

5643758419200 is a wasteful number, since it uses less digits than its factorization.

5643758419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5643758419200 in words is "five trillion, six hundred forty-three billion, seven hundred fifty-eight million, four hundred nineteen thousand, two hundred".