629398437405696 has 704 divisors, whose sum is σ = 2194837811712000. Its totient is φ = 178081944477696.

The previous prime is 629398437405679. The next prime is 629398437405757. The reversal of 629398437405696 is 696504734893926.

629398437405696 is a `hidden beast` number, since 6 + 2 + 9 + 3 + 9 + 8 + 4 + 3 + 7 + 40 + 569 + 6 = 666.

It is a super-2 number, since 2×629398437405696² (a number of 30 digits) contains 22 as substring.

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, 976454011 + ... + 977098373.

Almost surely, 2^{629398437405696} 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 629398437405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097418905856000).

629398437405696 is an abundant number, since it is smaller than the sum of its proper divisors (1565439374306304).

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

629398437405696 is a wasteful number, since it uses less digits than its factorization.

629398437405696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644516 (or 644478 counting only the distinct ones).

The product of its (nonzero) digits is 12697896960, while the sum is 81.

The spelling of 629398437405696 in words is "six hundred twenty-nine trillion, three hundred ninety-eight billion, four hundred thirty-seven million, four hundred five thousand, six hundred ninety-six".