629106022272 has 256 divisors, whose sum is σ = 2058184396800. Its totient is φ = 165797756928.

The previous prime is 629106022261. The next prime is 629106022289. The reversal of 629106022272 is 272220601926.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 629106022272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54751504 + ... + 54762992.

It is an arithmetic number, because the mean of its divisors is an integer number (8039782800).

Almost surely, 2^629106022272 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 629106022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029092198400).

629106022272 is an abundant number, since it is smaller than the sum of its proper divisors (1429078374528).

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

629106022272 is a wasteful number, since it uses less digits than its factorization.

629106022272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13093 (or 13081 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 629106022272 in words is "six hundred twenty-nine billion, one hundred six million, twenty-two thousand, two hundred seventy-two".