5466316800 has 672 divisors, whose sum is σ = 21842601984. Its totient is φ = 1179648000.

The previous prime is 5466316763. The next prime is 5466316829. The reversal of 5466316800 is 86136645.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133324780 + ... + 133324820.

It is an arithmetic number, because the mean of its divisors is an integer number (32503872).

Almost surely, 2^5466316800 is an apocalyptic number.

5466316800 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 5466316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10921300992).

5466316800 is an abundant number, since it is smaller than the sum of its proper divisors (16376285184).

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

5466316800 is a wasteful number, since it uses less digits than its factorization.

5466316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 5466316800 is about 73934.5440237512. The cubic root of 5466316800 is about 1761.5633492100.

The spelling of 5466316800 in words is "five billion, four hundred sixty-six million, three hundred sixteen thousand, eight hundred".