7268800000 has 480 divisors, whose sum is σ = 23016026880. Its totient is φ = 2227200000.

The previous prime is 7268799997. The next prime is 7268800001. The reversal of 7268800000 is 88627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7268800001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123199971 + ... + 123200029.

It is an arithmetic number, because the mean of its divisors is an integer number (47950056).

Almost surely, 2^7268800000 is an apocalyptic number.

7268800000 is a gapful number since it is divisible by the number (70) 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 7268800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11508013440).

7268800000 is an abundant number, since it is smaller than the sum of its proper divisors (15747226880).

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

7268800000 is an frugal number, since it uses more digits than its factorization.

7268800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 7268800000 is about 85257.2577555718. The cubic root of 7268800000 is about 1937.1098069602.

Adding to 7268800000 its reverse (88627), we get a palindrome (7268888627).

The spelling of 7268800000 in words is "seven billion, two hundred sixty-eight million, eight hundred thousand".