5676216000 has 896 divisors, whose sum is σ = 24284123136. Its totient is φ = 1135411200.

The previous prime is 5676215999. The next prime is 5676216031. The reversal of 5676216000 is 6126765.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 50231944 + ... + 50232056.

It is an arithmetic number, because the mean of its divisors is an integer number (27102816).

Almost surely, 2^5676216000 is an apocalyptic number.

5676216000 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 5676216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142061568).

5676216000 is an abundant number, since it is smaller than the sum of its proper divisors (18607907136).

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

5676216000 is a wasteful number, since it uses less digits than its factorization.

5676216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 5676216000 is about 75340.6663097693. Note that the first 3 decimals coincide. The cubic root of 5676216000 is about 1783.8279778096.

The spelling of 5676216000 in words is "five billion, six hundred seventy-six million, two hundred sixteen thousand".