629625672 has 96 divisors (see below), whose sum is σ = 1841112000. Its totient is φ = 193235328.

The previous prime is 629625631. The next prime is 629625679. The reversal of 629625672 is 276526926.

629625672 is a `hidden beast` number, since 6 + 29 + 62 + 567 + 2 = 666.

It is a super-3 number, since 3×629625672³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (629625679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560103 + ... + 561225.

It is an arithmetic number, because the mean of its divisors is an integer number (19178250).

Almost surely, 2^629625672 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 629625672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920556000).

629625672 is an abundant number, since it is smaller than the sum of its proper divisors (1211486328).

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

629625672 is a wasteful number, since it uses less digits than its factorization.

629625672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1740 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 629625672 is about 25092.3428957919. The cubic root of 629625672 is about 857.0920677525.

The spelling of 629625672 in words is "six hundred twenty-nine million, six hundred twenty-five thousand, six hundred seventy-two".