7312800000 has 432 divisors, whose sum is σ = 26634170304. Its totient is φ = 1766400000.

The previous prime is 7312799981. The next prime is 7312800043. The reversal of 7312800000 is 82137.

It is a self number, because there is not a number n which added to its sum of digits gives 7312800000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26399862 + ... + 26400138.

It is an arithmetic number, because the mean of its divisors is an integer number (61653172).

Almost surely, 2^7312800000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7312800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13317085152).

7312800000 is an abundant number, since it is smaller than the sum of its proper divisors (19321370304).

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

7312800000 is an equidigital number, since it uses as much as digits as its factorization.

7312800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 7312800000 is about 85514.9109804834. The cubic root of 7312800000 is about 1941.0105621723.

Adding to 7312800000 its reverse (82137), we get a palindrome (7312882137).

The spelling of 7312800000 in words is "seven billion, three hundred twelve million, eight hundred thousand".