629000064 has 288 divisors, whose sum is σ = 2299204440. Its totient is φ = 163215360.

The previous prime is 629000039. The next prime is 629000077. The reversal of 629000064 is 460000926.

629000064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620422 + ... + 621434.

Almost surely, 2^629000064 is an apocalyptic number.

629000064 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 629000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149602220).

629000064 is an abundant number, since it is smaller than the sum of its proper divisors (1670204376).

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

629000064 is a wasteful number, since it uses less digits than its factorization.

629000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 629000064 is about 25079.8736838924. The cubic root of 629000064 is about 856.8080993724.

It can be divided in two parts, 6290000 and 64, that added together give a square (6290064 = 2508²).

The spelling of 629000064 in words is "six hundred twenty-nine million, sixty-four", and thus it is an aban number.