380679128064 has 99 divisors (see below), whose sum is σ = 1099373776527. Its totient is φ = 126873298944.

The previous prime is 380679128029. The next prime is 380679128069. The reversal of 380679128064 is 460821976083.

The square root of 380679128064 is 616992.

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

It is a self number, because there is not a number n which added to its sum of digits gives 380679128064.

It is not an unprimeable number, because it can be changed into a prime (380679128069) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 59228019 + ... + 59234445.

Almost surely, 2^380679128064 is an apocalyptic number.

380679128064 is the 616992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380679128064

380679128064 is an abundant number, since it is smaller than the sum of its proper divisors (718694648463).

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

380679128064 is an frugal number, since it uses more digits than its factorization.

380679128064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12880 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 380679128064 in words is "three hundred eighty billion, six hundred seventy-nine million, one hundred twenty-eight thousand, sixty-four".