379823546880 has 480 divisors, whose sum is σ = 1363009190400. Its totient is φ = 97648312320.

The previous prime is 379823546833. The next prime is 379823546881. The reversal of 379823546880 is 88645328973.

379823546880 is a `hidden beast` number, since 3 + 7 + 9 + 8 + 2 + 3 + 546 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (379823546881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223556271 + ... + 223557969.

It is an arithmetic number, because the mean of its divisors is an integer number (2839602480).

Almost surely, 2^379823546880 is an apocalyptic number.

379823546880 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 379823546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681504595200).

379823546880 is an abundant number, since it is smaller than the sum of its proper divisors (983185643520).

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

379823546880 is a wasteful number, since it uses less digits than its factorization.

379823546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 379823546880 in words is "three hundred seventy-nine billion, eight hundred twenty-three million, five hundred forty-six thousand, eight hundred eighty".