629074656 has 144 divisors (see below), whose sum is σ = 2133540864. Its totient is φ = 171908352.

The previous prime is 629074631. The next prime is 629074657. The reversal of 629074656 is 656470926.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629074657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39585 + ... + 53151.

It is an arithmetic number, because the mean of its divisors is an integer number (14816256).

Almost surely, 2^629074656 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 629074656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066770432).

629074656 is an abundant number, since it is smaller than the sum of its proper divisors (1504466208).

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

629074656 is a wasteful number, since it uses less digits than its factorization.

629074656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13613 (or 13602 counting only the distinct ones).

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

The square root of 629074656 is about 25081.3607286367. The cubic root of 629074656 is about 856.8419671503.

The spelling of 629074656 in words is "six hundred twenty-nine million, seventy-four thousand, six hundred fifty-six".