7438943232 has 792 divisors, whose sum is σ = 28656362400. Its totient is φ = 1895104512.

The previous prime is 7438943221. The next prime is 7438943233. The reversal of 7438943232 is 2323498347.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (870912) is a multiple of the sum of its prime divisors (48).

It is not an unprimeable number, because it can be changed into a prime (7438943233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 391523319 + ... + 391523337.

Almost surely, 2^7438943232 is an apocalyptic number.

7438943232 is a gapful number since it is divisible by the number (72) 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 7438943232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328181200).

7438943232 is an abundant number, since it is smaller than the sum of its proper divisors (21217419168).

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

7438943232 is a wasteful number, since it uses less digits than its factorization.

7438943232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 7438943232 is about 86249.3085885330. The cubic root of 7438943232 is about 1952.1075816368.

The spelling of 7438943232 in words is "seven billion, four hundred thirty-eight million, nine hundred forty-three thousand, two hundred thirty-two".