7533048729600 has 585 divisors, whose sum is σ = 27933524952883. Its totient is φ = 2006705111040.

The previous prime is 7533048729553. The next prime is 7533048729601. The reversal of 7533048729600 is 69278403357.

The square root of 7533048729600 is 2744640.

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

7533048729600 is a `hidden beast` number, since 7 + 5 + 3 + 3 + 0 + 4 + 8 + 7 + 29 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 377723326464 + 7155325403136 = 614592^2 + 2674944^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7533048729601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7904562724 + ... + 7904563676.

Almost surely, 2^{7533048729600} is an apocalyptic number.

7533048729600 is the 2744640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7533048729600

7533048729600 is an abundant number, since it is smaller than the sum of its proper divisors (20400476223283).

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

7533048729600 is an frugal number, since it uses more digits than its factorization.

7533048729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 7533048729600 in words is "seven trillion, five hundred thirty-three billion, forty-eight million, seven hundred twenty-nine thousand, six hundred".