379906666560 has 672 divisors, whose sum is σ = 1405922918400. Its totient is φ = 97544632320.

The previous prime is 379906666511. The next prime is 379906666567. The reversal of 379906666560 is 65666609973.

It is not an unprimeable number, because it can be changed into a prime (379906666567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 865390821 + ... + 865391259.

It is an arithmetic number, because the mean of its divisors is an integer number (2092147200).

Almost surely, 2^379906666560 is an apocalyptic number.

379906666560 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 379906666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702961459200).

379906666560 is an abundant number, since it is smaller than the sum of its proper divisors (1026016251840).

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

379906666560 is a wasteful number, since it uses less digits than its factorization.

379906666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 379906666560 in words is "three hundred seventy-nine billion, nine hundred six million, six hundred sixty-six thousand, five hundred sixty".