7433712480 has 192 divisors, whose sum is σ = 23710579200. Its totient is φ = 1957601280.

The previous prime is 7433712427. The next prime is 7433712523. The reversal of 7433712480 is 842173347.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20706541 + ... + 20706899.

It is an arithmetic number, because the mean of its divisors is an integer number (123492600).

Almost surely, 2^7433712480 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 7433712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11855289600).

7433712480 is an abundant number, since it is smaller than the sum of its proper divisors (16276866720).

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

7433712480 is a wasteful number, since it uses less digits than its factorization.

7433712480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 7433712480 is about 86218.9798130319. The cubic root of 7433712480 is about 1951.6499277036.

The spelling of 7433712480 in words is "seven billion, four hundred thirty-three million, seven hundred twelve thousand, four hundred eighty".