1629393816960 has 1152 divisors, whose sum is σ = 7073931009600. Its totient is φ = 342549430272.

The previous prime is 1629393816943. The next prime is 1629393816997. The reversal of 1629393816960 is 696183939261.

1629393816960 is a `hidden beast` number, since 1 + 6 + 29 + 393 + 8 + 169 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1317213462 + ... + 1317214698.

Almost surely, 2^{1629393816960} is an apocalyptic number.

1629393816960 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 1629393816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536965504800).

1629393816960 is an abundant number, since it is smaller than the sum of its proper divisors (5444537192640).

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

1629393816960 is a wasteful number, since it uses less digits than its factorization.

1629393816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 1629393816960 in words is "one trillion, six hundred twenty-nine billion, three hundred ninety-three million, eight hundred sixteen thousand, nine hundred sixty".