629329664 has 72 divisors (see below), whose sum is σ = 1362922848. Its totient is φ = 288849920.

The previous prime is 629329663. The next prime is 629329697. The reversal of 629329664 is 466923926.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629329663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176669 + ... + 180195.

It is an arithmetic number, because the mean of its divisors is an integer number (18929484).

Almost surely, 2^629329664 is an apocalyptic number.

629329664 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 629329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681461424).

629329664 is an abundant number, since it is smaller than the sum of its proper divisors (733593184).

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

629329664 is a wasteful number, since it uses less digits than its factorization.

629329664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3587 counting only the distinct ones).

The product of its digits is 839808, while the sum is 47.

The square root of 629329664 is about 25086.4438292876. The cubic root of 629329664 is about 856.9577308552.

The spelling of 629329664 in words is "six hundred twenty-nine million, three hundred twenty-nine thousand, six hundred sixty-four".