7472320848000 has 1536 divisors, whose sum is σ = 29199538368000. Its totient is φ = 1877022720000.

The previous prime is 7472320847939. The next prime is 7472320848007. The reversal of 7472320848000 is 8480232747.

7472320848000 is a `hidden beast` number, since 7 + 472 + 3 + 20 + 84 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7472320848007) 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 191 ways as a sum of consecutive naturals, for example, 17021231781 + ... + 17021232219.

It is an arithmetic number, because the mean of its divisors is an integer number (19010116125).

Almost surely, 2^{7472320848000} 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 7472320848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599769184000).

7472320848000 is an abundant number, since it is smaller than the sum of its proper divisors (21727217520000).

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

7472320848000 is a wasteful number, since it uses less digits than its factorization.

7472320848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 7472320848000 in words is "seven trillion, four hundred seventy-two billion, three hundred twenty million, eight hundred forty-eight thousand".