7413239232 has 560 divisors, whose sum is σ = 27164922048. Its totient is φ = 1950842880.

The previous prime is 7413239201. The next prime is 7413239237. The reversal of 7413239232 is 2329323147.

7413239232 is a `hidden beast` number, since 7 + 413 + 2 + 3 + 9 + 232 = 666.

It is a super-2 number, since 2×7413239232² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7413239237) 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 79 ways as a sum of consecutive naturals, for example, 37630558 + ... + 37630754.

Almost surely, 2^7413239232 is an apocalyptic number.

7413239232 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 7413239232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13582461024).

7413239232 is an abundant number, since it is smaller than the sum of its proper divisors (19751682816).

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

7413239232 is a wasteful number, since it uses less digits than its factorization.

7413239232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 7413239232 is about 86100.1697559302. The cubic root of 7413239232 is about 1949.8565953713.

The spelling of 7413239232 in words is "seven billion, four hundred thirteen million, two hundred thirty-nine thousand, two hundred thirty-two".