5331466800 has 720 divisors, whose sum is σ = 21530336256. Its totient is φ = 1209600000.

The previous prime is 5331466783. The next prime is 5331466813. The reversal of 5331466800 is 86641335.

5331466800 is a `hidden beast` number, since 533 + 1 + 46 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52786750 + ... + 52786850.

Almost surely, 2^5331466800 is an apocalyptic number.

5331466800 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 5331466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10765168128).

5331466800 is an abundant number, since it is smaller than the sum of its proper divisors (16198869456).

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

5331466800 is a wasteful number, since it uses less digits than its factorization.

5331466800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5331466800 is about 73016.8939355818. The cubic root of 5331466800 is about 1746.9570848085.

The spelling of 5331466800 in words is "five billion, three hundred thirty-one million, four hundred sixty-six thousand, eight hundred".