629416575006976 has 81 divisors (see below), whose sum is σ = 1298235728985489. Its totient is φ = 304550386099200.

The previous prime is 629416575006953. The next prime is 629416575006991. The reversal of 629416575006976 is 679600575614926.

The square root of 629416575006976 is 25088176.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 431269285816576 + 198147289190400 = 20767024^2 + 14076480^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 629416575006899 and 629416575006908.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12443710006 + ... + 12443760586.

Almost surely, 2^{629416575006976} is an apocalyptic number.

629416575006976 is the 25088176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629416575006976

629416575006976 is an abundant number, since it is smaller than the sum of its proper divisors (668819153978513).

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

629416575006976 is an frugal number, since it uses more digits than its factorization.

629416575006976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101240 (or 50614 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 73.

The spelling of 629416575006976 in words is "six hundred twenty-nine trillion, four hundred sixteen billion, five hundred seventy-five million, six thousand, nine hundred seventy-six".