629523648 has 252 divisors, whose sum is σ = 2030333760. Its totient is φ = 186181632.

The previous prime is 629523641. The next prime is 629523667. The reversal of 629523648 is 846325926.

629523648 is a `hidden beast` number, since 62 + 9 + 523 + 64 + 8 = 666.

Its product of digits (622080) is a multiple of the sum of its prime divisors (270).

It is not an unprimeable number, because it can be changed into a prime (629523641) 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 35 ways as a sum of consecutive naturals, for example, 2822865 + ... + 2823087.

It is an arithmetic number, because the mean of its divisors is an integer number (8056880).

Almost surely, 2^629523648 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 629523648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015166880).

629523648 is an abundant number, since it is smaller than the sum of its proper divisors (1400810112).

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

629523648 is a wasteful number, since it uses less digits than its factorization.

629523648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 270 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 629523648 is about 25090.3098426464. The cubic root of 629523648 is about 857.0457710990.

The spelling of 629523648 in words is "six hundred twenty-nine million, five hundred twenty-three thousand, six hundred forty-eight".