5632972800 has 864 divisors, whose sum is σ = 23788477440. Its totient is φ = 1150156800.

The previous prime is 5632972799. The next prime is 5632972801. The reversal of 5632972800 is 82792365.

It is an interprime number because it is at equal distance from previous prime (5632972799) and next prime (5632972801).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632972801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181708785 + ... + 181708815.

It is an arithmetic number, because the mean of its divisors is an integer number (27532960).

Almost surely, 2^5632972800 is an apocalyptic number.

5632972800 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 5632972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11894238720).

5632972800 is an abundant number, since it is smaller than the sum of its proper divisors (18155504640).

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

5632972800 is a wasteful number, since it uses less digits than its factorization.

5632972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 5632972800 is about 75053.1331791019. The cubic root of 5632972800 is about 1779.2865044289.

The spelling of 5632972800 in words is "five billion, six hundred thirty-two million, nine hundred seventy-two thousand, eight hundred".