629144126976 has 160 divisors (see below), whose sum is σ = 1686390064128. Its totient is φ = 208427950080.

The previous prime is 629144126959. The next prime is 629144126993. The reversal of 629144126976 is 679621441926.

It is an interprime number because it is at equal distance from previous prime (629144126959) and next prime (629144126993).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 283269546 + ... + 283271766.

Almost surely, 2^629144126976 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 629144126976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843195032064).

629144126976 is an abundant number, since it is smaller than the sum of its proper divisors (1057245937152).

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

629144126976 is a wasteful number, since it uses less digits than its factorization.

629144126976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3276 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The spelling of 629144126976 in words is "six hundred twenty-nine billion, one hundred forty-four million, one hundred twenty-six thousand, nine hundred seventy-six".