380106005664 has 192 divisors, whose sum is σ = 1244438415360. Its totient is φ = 98692715520.

The previous prime is 380106005621. The next prime is 380106005683. The reversal of 380106005664 is 466500601083.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24526302 + ... + 24541794.

It is an arithmetic number, because the mean of its divisors is an integer number (6481450080).

Almost surely, 2^380106005664 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 380106005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622219207680).

380106005664 is an abundant number, since it is smaller than the sum of its proper divisors (864332409696).

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

380106005664 is a wasteful number, since it uses less digits than its factorization.

380106005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18843 (or 18835 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 380106005664 in words is "three hundred eighty billion, one hundred six million, five thousand, six hundred sixty-four".