380177020368 has 160 divisors (see below), whose sum is σ = 1100729548800. Its totient is φ = 125628810624.

The previous prime is 380177020367. The next prime is 380177020393. The reversal of 380177020368 is 863020771083.

380177020368 is a `hidden beast` number, since 380 + 1 + 7 + 7 + 0 + 203 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380177020361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27624273 + ... + 27638031.

It is an arithmetic number, because the mean of its divisors is an integer number (6879559680).

Almost surely, 2^380177020368 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 380177020368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550364774400).

380177020368 is an abundant number, since it is smaller than the sum of its proper divisors (720552528432).

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

380177020368 is a wasteful number, since it uses less digits than its factorization.

380177020368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14326 (or 14314 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 380177020368 in words is "three hundred eighty billion, one hundred seventy-seven million, twenty thousand, three hundred sixty-eight".