629131364064 has 384 divisors, whose sum is σ = 2303465472000. Its totient is φ = 162886546944.

The previous prime is 629131364011. The next prime is 629131364119. The reversal of 629131364064 is 460463131926.

629131364064 is a `hidden beast` number, since 6 + 291 + 313 + 6 + 40 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2523957 + ... + 2761995.

It is an arithmetic number, because the mean of its divisors is an integer number (5998608000).

Almost surely, 2^629131364064 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 629131364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151732736000).

629131364064 is an abundant number, since it is smaller than the sum of its proper divisors (1674334107936).

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

629131364064 is a wasteful number, since it uses less digits than its factorization.

629131364064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238107 (or 238093 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 629131364064 in words is "six hundred twenty-nine billion, one hundred thirty-one million, three hundred sixty-four thousand, sixty-four".