382629318697920 has 672 divisors, whose sum is σ = 1459322623696896. Its totient is φ = 84605268787200.

The previous prime is 382629318697831. The next prime is 382629318697949. The reversal of 382629318697920 is 29796813926283.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4014487065 + ... + 4014582375.

It is an arithmetic number, because the mean of its divisors is an integer number (2171611047168).

Almost surely, 2^{382629318697920} is an apocalyptic number.

382629318697920 is a gapful number since it is divisible by the number (30) 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 382629318697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729661311848448).

382629318697920 is an abundant number, since it is smaller than the sum of its proper divisors (1076693304998976).

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

382629318697920 is a wasteful number, since it uses less digits than its factorization.

382629318697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98129 (or 98112 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 75.

The spelling of 382629318697920 in words is "three hundred eighty-two trillion, six hundred twenty-nine billion, three hundred eighteen million, six hundred ninety-seven thousand, nine hundred twenty".