7372800000 has 342 divisors, whose sum is σ = 26622245286. Its totient is φ = 1966080000.

The previous prime is 7372799999. The next prime is 7372800013. The reversal of 7372800000 is 82737.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 3406823424 + 3965976576 = 58368^2 + 62976^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1474559998 + ... + 1474560002.

Almost surely, 2^7372800000 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 7372800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13311122643).

7372800000 is an abundant number, since it is smaller than the sum of its proper divisors (19249445286).

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

7372800000 is an frugal number, since it uses more digits than its factorization.

7372800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7372800000 is about 85865.0103359919. The cubic root of 7372800000 is about 1946.3046385835.

Adding to 7372800000 its reverse (82737), we get a palindrome (7372882737).

The spelling of 7372800000 in words is "seven billion, three hundred seventy-two million, eight hundred thousand".