7432409088 has 234 divisors, whose sum is σ = 23266748466. Its totient is φ = 2284978176.

The previous prime is 7432409087. The next prime is 7432409099. The reversal of 7432409088 is 8809042347.

It can be written as a sum of positive squares in 3 ways, for example, as 589824 + 7431819264 = 768^2 + 86208^2 .

It is a tau number, because it is divible by the number of its divisors (234).

It is not an unprimeable number, because it can be changed into a prime (7432409081) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6229420 + ... + 6230612.

It is an arithmetic number, because the mean of its divisors is an integer number (99430549).

Almost surely, 2^7432409088 is an apocalyptic number.

7432409088 is a gapful number since it is divisible by the number (78) 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 7432409088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11633374233).

7432409088 is an abundant number, since it is smaller than the sum of its proper divisors (15834339378).

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

7432409088 is a wasteful number, since it uses less digits than its factorization.

7432409088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7432409088 is about 86211.4208675394. The cubic root of 7432409088 is about 1951.5358566795.

The spelling of 7432409088 in words is "seven billion, four hundred thirty-two million, four hundred nine thousand, eighty-eight".