7372800000000 has 594 divisors, whose sum is σ = 26623980020859. Its totient is φ = 1966080000000.

The previous prime is 7372799999941. The next prime is 7372800000001. The reversal of 7372800000000 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 5 ways, for example, as 7028522090496 + 344277909504 = 2651136^2 + 586752^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1920000.

It is a self number, because there is not a number n which added to its sum of digits gives 7372800000000.

It is not an unprimeable number, because it can be changed into a prime (7372800000001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1474559999998 + ... + 1474560000002.

Almost surely, 2^{7372800000000} 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 7372800000000

7372800000000 is an abundant number, since it is smaller than the sum of its proper divisors (19251180020859).

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

7372800000000 is an frugal number, since it uses more digits than its factorization.

7372800000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 10 counting only the distinct ones).

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

Adding to 7372800000000 its reverse (82737), we get a palindrome (7372800082737).

The spelling of 7372800000000 in words is "seven trillion, three hundred seventy-two billion, eight hundred million", and thus it is an aban number.