7321483468800 has 2352 divisors, whose sum is σ = 29975680206000. Its totient is φ = 1765791498240.

The previous prime is 7321483468757. The next prime is 7321483468801. The reversal of 7321483468800 is 88643841237.

7321483468800 is a `hidden beast` number, since 7 + 3 + 21 + 4 + 83 + 468 + 80 + 0 = 666.

It is a super-3 number, since 3×7321483468800³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7321483468801) 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 167 ways as a sum of consecutive naturals, for example, 82263859156 + ... + 82263859244.

Almost surely, 2^{7321483468800} 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 7321483468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14987840103000).

7321483468800 is an abundant number, since it is smaller than the sum of its proper divisors (22654196737200).

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

7321483468800 is an equidigital number, since it uses as much as digits as its factorization.

7321483468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 7321483468800 in words is "seven trillion, three hundred twenty-one billion, four hundred eighty-three million, four hundred sixty-eight thousand, eight hundred".