7433449319072 has 576 divisors, whose sum is σ = 18870582528000. Its totient is φ = 2877249392640.

The previous prime is 7433449319069. The next prime is 7433449319077. The reversal of 7433449319072 is 2709139443347.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 7433449318999 and 7433449319017.

It is not an unprimeable number, because it can be changed into a prime (7433449319077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8966765954 + ... + 8966766782.

It is an arithmetic number, because the mean of its divisors is an integer number (32761428000).

Almost surely, 2^{7433449319072} 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 7433449319072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9435291264000).

7433449319072 is an abundant number, since it is smaller than the sum of its proper divisors (11437133208928).

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

7433449319072 is a wasteful number, since it uses less digits than its factorization.

7433449319072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 56.

The spelling of 7433449319072 in words is "seven trillion, four hundred thirty-three billion, four hundred forty-nine million, three hundred nineteen thousand, seventy-two".