5621664000 has 288 divisors, whose sum is σ = 19284894720. Its totient is φ = 1449984000.

The previous prime is 5621663981. The next prime is 5621664029. The reversal of 5621664000 is 4661265.

It is a super-2 number, since 2×5621664000² = 63206212257792000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2975056 + ... + 2976944.

It is an arithmetic number, because the mean of its divisors is an integer number (66961440).

Almost surely, 2^5621664000 is an apocalyptic number.

5621664000 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 5621664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642447360).

5621664000 is an abundant number, since it is smaller than the sum of its proper divisors (13663230720).

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

5621664000 is a wasteful number, since it uses less digits than its factorization.

5621664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5621664000 is about 74977.7567015712. The cubic root of 5621664000 is about 1778.0950035762.

The spelling of 5621664000 in words is "five billion, six hundred twenty-one million, six hundred sixty-four thousand".