7133813646400 has 189 divisors, whose sum is σ = 20421681506949. Its totient is φ = 2445622556160.

The previous prime is 7133813646389. The next prime is 7133813646607. The reversal of 7133813646400 is 46463183317.

The square root of 7133813646400 is 2670920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2568172912704 + 4565640733696 = 1602552^2 + 2136736^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 747852831 + ... + 747862369.

Almost surely, 2^{7133813646400} is an apocalyptic number.

7133813646400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7133813646400 is the 2670920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7133813646400

7133813646400 is an abundant number, since it is smaller than the sum of its proper divisors (13287867860549).

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

7133813646400 is an frugal number, since it uses more digits than its factorization.

7133813646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19114 (or 9553 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 7133813646400 in words is "seven trillion, one hundred thirty-three billion, eight hundred thirteen million, six hundred forty-six thousand, four hundred".