5664223884000 has 768 divisors, whose sum is σ = 21076133105664. Its totient is φ = 1317648384000.

The previous prime is 5664223883953. The next prime is 5664223884031. The reversal of 5664223884000 is 4883224665.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 356524057 + ... + 356539943.

It is an arithmetic number, because the mean of its divisors is an integer number (27442881648).

Almost surely, 2^{5664223884000} is an apocalyptic number.

5664223884000 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 5664223884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10538066552832).

5664223884000 is an abundant number, since it is smaller than the sum of its proper divisors (15411909221664).

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

5664223884000 is a wasteful number, since it uses less digits than its factorization.

5664223884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16036 (or 16018 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 5664223884000 in words is "five trillion, six hundred sixty-four billion, two hundred twenty-three million, eight hundred eighty-four thousand".