7645132320 has 384 divisors, whose sum is σ = 28356894720. Its totient is φ = 1695375360.

The previous prime is 7645132223. The next prime is 7645132331. The reversal of 7645132320 is 232315467.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17414661 + ... + 17415099.

It is an arithmetic number, because the mean of its divisors is an integer number (73846080).

Almost surely, 2^7645132320 is an apocalyptic number.

7645132320 is a gapful number since it is divisible by the number (70) 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 7645132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14178447360).

7645132320 is an abundant number, since it is smaller than the sum of its proper divisors (20711762400).

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

7645132320 is a wasteful number, since it uses less digits than its factorization.

7645132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 7645132320 is about 87436.4473203252. The cubic root of 7645132320 is about 1969.9793276022.

Adding to 7645132320 its reverse (232315467), we get a palindrome (7877447787).

The spelling of 7645132320 in words is "seven billion, six hundred forty-five million, one hundred thirty-two thousand, three hundred twenty".