629777664 has 108 divisors (see below), whose sum is σ = 1845983412. Its totient is φ = 206438400.

The previous prime is 629777639. The next prime is 629777719. The reversal of 629777664 is 466777926.

It is a happy number.

629777664 is a `hidden beast` number, since 629 + 7 + 7 + 7 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 221414400 + 408363264 = 14880^2 + 20208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 629777664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138304 + ... + 142784.

It is an arithmetic number, because the mean of its divisors is an integer number (17092439).

Almost surely, 2^629777664 is an apocalyptic number.

629777664 is a gapful number since it is divisible by the number (64) 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 629777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922991706).

629777664 is an abundant number, since it is smaller than the sum of its proper divisors (1216205748).

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

629777664 is a wasteful number, since it uses less digits than its factorization.

629777664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 4547 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 629777664 is about 25095.3713660508. The cubic root of 629777664 is about 857.1610297100.

The spelling of 629777664 in words is "six hundred twenty-nine million, seven hundred seventy-seven thousand, six hundred sixty-four".