629116364160 has 512 divisors, whose sum is σ = 2314149235200. Its totient is φ = 161404379136.

The previous prime is 629116364101. The next prime is 629116364171. The reversal of 629116364160 is 61463611926.

629116364160 is a `hidden beast` number, since 6 + 2 + 9 + 1 + 1 + 636 + 4 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49777362 + ... + 49789998.

It is an arithmetic number, because the mean of its divisors is an integer number (4519822725).

Almost surely, 2^629116364160 is an apocalyptic number.

629116364160 is a gapful number since it is divisible by the number (60) 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 629116364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157074617600).

629116364160 is an abundant number, since it is smaller than the sum of its proper divisors (1685032871040).

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

629116364160 is a wasteful number, since it uses less digits than its factorization.

629116364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12775 (or 12757 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 629116364160 in words is "six hundred twenty-nine billion, one hundred sixteen million, three hundred sixty-four thousand, one hundred sixty".