7472356733800 has 384 divisors, whose sum is σ = 20832336288000. Its totient is φ = 2489783546880.

The previous prime is 7472356733767. The next prime is 7472356733801. The reversal of 7472356733800 is 83376532747.

It is a happy number.

It is a super-2 number, since 2×7472356733800² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7472356733801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3865677634 + ... + 3865679566.

It is an arithmetic number, because the mean of its divisors is an integer number (54250875750).

Almost surely, 2^{7472356733800} is an apocalyptic number.

7472356733800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7472356733800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416168144000).

7472356733800 is an abundant number, since it is smaller than the sum of its proper divisors (13359979554200).

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

7472356733800 is a wasteful number, since it uses less digits than its factorization.

7472356733800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 55.

The spelling of 7472356733800 in words is "seven trillion, four hundred seventy-two billion, three hundred fifty-six million, seven hundred thirty-three thousand, eight hundred".