7533268302400 has 189 divisors, whose sum is σ = 18872279393161. Its totient is φ = 2959687252480.

The previous prime is 7533268302379. The next prime is 7533268302409. The reversal of 7533268302400 is 42038623357.

The square root of 7533268302400 is 2744680.

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., 2711976588864 + 4821291713536 = 1646808^2 + 2195744^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7533268302409) 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, 6477444219 + ... + 6477445381.

Almost surely, 2^{7533268302400} is an apocalyptic number.

7533268302400 is the 2744680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7533268302400

7533268302400 is an abundant number, since it is smaller than the sum of its proper divisors (11339011090761).

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

7533268302400 is an frugal number, since it uses more digits than its factorization.

7533268302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 7533268302400 in words is "seven trillion, five hundred thirty-three billion, two hundred sixty-eight million, three hundred two thousand, four hundred".