7629673104 has 135 divisors (see below), whose sum is σ = 22202625289. Its totient is φ = 2445744000.

The previous prime is 7629673099. The next prime is 7629673111. The reversal of 7629673104 is 4013769267.

The square root of 7629673104 is 87348.

It is a perfect power (a square), and thus also a powerful number.

7629673104 is a `hidden beast` number, since 7 + 629 + 6 + 7 + 3 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4000815504 + 3628857600 = 63252^2 + 60240^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7629673104.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30396979 + ... + 30397229.

Almost surely, 2^7629673104 is an apocalyptic number.

7629673104 is the 87348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7629673104

7629673104 is an abundant number, since it is smaller than the sum of its proper divisors (14572952185).

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

7629673104 is a wasteful number, since it uses less digits than its factorization.

7629673104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The cubic root of 7629673104 is about 1968.6506003814.

The spelling of 7629673104 in words is "seven billion, six hundred twenty-nine million, six hundred seventy-three thousand, one hundred four".