5632166800 has 120 divisors (see below), whose sum is σ = 15042648320. Its totient is φ = 2012428800.

The previous prime is 5632166767. The next prime is 5632166807. The reversal of 5632166800 is 86612365.

It is a self number, because there is not a number n which added to its sum of digits gives 5632166800.

It is not an unprimeable number, because it can be changed into a prime (5632166807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143731 + ... + 178669.

Almost surely, 2^5632166800 is an apocalyptic number.

5632166800 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 5632166800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7521324160).

5632166800 is an abundant number, since it is smaller than the sum of its proper divisors (9410481520).

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

5632166800 is a wasteful number, since it uses less digits than its factorization.

5632166800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35001 (or 34990 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 5632166800 is about 75047.7634576807. The cubic root of 5632166800 is about 1779.2016366703.

The spelling of 5632166800 in words is "five billion, six hundred thirty-two million, one hundred sixty-six thousand, eight hundred".