7629341328 has 240 divisors, whose sum is σ = 25922198016. Its totient is φ = 2044846080.

The previous prime is 7629341299. The next prime is 7629341353. The reversal of 7629341328 is 8231439267.

7629341328 is a `hidden beast` number, since 7 + 629 + 3 + 4 + 13 + 2 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7385100 + ... + 7386132.

Almost surely, 2^7629341328 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 7629341328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12961099008).

7629341328 is an abundant number, since it is smaller than the sum of its proper divisors (18292856688).

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

7629341328 is a wasteful number, since it uses less digits than its factorization.

7629341328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1493 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 7629341328 is about 87346.1008173805. The cubic root of 7629341328 is about 1968.6220644061.

The spelling of 7629341328 in words is "seven billion, six hundred twenty-nine million, three hundred forty-one thousand, three hundred twenty-eight".