7248820045824 has 1728 divisors, whose sum is σ = 26796669419520. Its totient is φ = 1948892037120.

The previous prime is 7248820045813. The next prime is 7248820045829. The reversal of 7248820045824 is 4285400288427.

It is a happy number.

7248820045824 is a `hidden beast` number, since 72 + 4 + 88 + 20 + 0 + 458 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (7248820045829) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32505919377 + ... + 32505919599.

It is an arithmetic number, because the mean of its divisors is an integer number (15507331840).

Almost surely, 2^{7248820045824} 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 7248820045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13398334709760).

7248820045824 is an abundant number, since it is smaller than the sum of its proper divisors (19547849373696).

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

7248820045824 is a wasteful number, since it uses less digits than its factorization.

7248820045824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 7248820045824 in words is "seven trillion, two hundred forty-eight billion, eight hundred twenty million, forty-five thousand, eight hundred twenty-four".