1629433896960 has 448 divisors, whose sum is σ = 5294956241664. Its totient is φ = 427819008000.

The previous prime is 1629433896947. The next prime is 1629433897027. The reversal of 1629433896960 is 696983349261.

It is a junction number, because it is equal to n+sod(n) for n = 1629433896891 and 1629433896900.

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, 2542018240 + ... + 2542018880.

Almost surely, 2^{1629433896960} is an apocalyptic number.

1629433896960 is a gapful number since it is divisible by the number (10) 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 1629433896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647478120832).

1629433896960 is an abundant number, since it is smaller than the sum of its proper divisors (3665522344704).

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

1629433896960 is a wasteful number, since it uses less digits than its factorization.

1629433896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 66.

The spelling of 1629433896960 in words is "one trillion, six hundred twenty-nine billion, four hundred thirty-three million, eight hundred ninety-six thousand, nine hundred sixty".