7356800000000 has 756 divisors, whose sum is σ = 21278690277180. Its totient is φ = 2534400000000.

The previous prime is 7356799999921. The next prime is 7356800000003. The reversal of 7356800000000 is 86537.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7356800000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 387199999991 + ... + 387200000009.

Almost surely, 2^{7356800000000} 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 7356800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10639345138590).

7356800000000 is an abundant number, since it is smaller than the sum of its proper divisors (13921890277180).

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

7356800000000 is an frugal number, since it uses more digits than its factorization.

7356800000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

Adding to 7356800000000 its reverse (86537), we get a palindrome (7356800086537).

The spelling of 7356800000000 in words is "seven trillion, three hundred fifty-six billion, eight hundred million", and thus it is an aban number.