7672293328 has 80 divisors (see below), whose sum is σ = 17902981120. Its totient is φ = 3111550848.

The previous prime is 7672293319. The next prime is 7672293373. The reversal of 7672293328 is 8233922767.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2771401 + ... + 2774167.

It is an arithmetic number, because the mean of its divisors is an integer number (223787264).

Almost surely, 2^7672293328 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 7672293328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951490560).

7672293328 is an abundant number, since it is smaller than the sum of its proper divisors (10230687792).

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

7672293328 is a wasteful number, since it uses less digits than its factorization.

7672293328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 4098 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 49.

The square root of 7672293328 is about 87591.6281844332. The cubic root of 7672293328 is about 1972.3094980575.

The spelling of 7672293328 in words is "seven billion, six hundred seventy-two million, two hundred ninety-three thousand, three hundred twenty-eight".