5946180800 has 336 divisors, whose sum is σ = 17905853952. Its totient is φ = 1899110400.

The previous prime is 5946180787. The next prime is 5946180803. The reversal of 5946180800 is 80816495.

It is a super-2 number, since 2×5946180800² = 70714132212577280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (5946180803) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10561319 + ... + 10561881.

It is an arithmetic number, because the mean of its divisors is an integer number (53291232).

Almost surely, 2^5946180800 is an apocalyptic number.

5946180800 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 5946180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8952926976).

5946180800 is an abundant number, since it is smaller than the sum of its proper divisors (11959673152).

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

5946180800 is a wasteful number, since it uses less digits than its factorization.

5946180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 5946180800 is about 77111.4829321807. The cubic root of 5946180800 is about 1811.6711568245.

The spelling of 5946180800 in words is "five billion, nine hundred forty-six million, one hundred eighty thousand, eight hundred".