8432800000 has 216 divisors, whose sum is σ = 21460626432. Its totient is φ = 3306240000.

The previous prime is 8432799979. The next prime is 8432800021. The reversal of 8432800000 is 82348.

It is an interprime number because it is at equal distance from previous prime (8432799979) and next prime (8432800021).

It is a super-2 number, since 2×8432800000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 66399937 + ... + 66400063.

It is an arithmetic number, because the mean of its divisors is an integer number (99354752).

Almost surely, 2^8432800000 is an apocalyptic number.

8432800000 is a gapful number since it is divisible by the number (80) 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 8432800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10730313216).

8432800000 is an abundant number, since it is smaller than the sum of its proper divisors (13027826432).

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

8432800000 is an frugal number, since it uses more digits than its factorization.

8432800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 8432800000 is about 91830.2782310933. The cubic root of 8432800000 is about 2035.4351344497.

Adding to 8432800000 its reverse (82348), we get a palindrome (8432882348).

The spelling of 8432800000 in words is "eight billion, four hundred thirty-two million, eight hundred thousand".