379219968000 has 896 divisors, whose sum is σ = 1430302947840. Its totient is φ = 100329062400.

The previous prime is 379219967969. The next prime is 379219968019. The reversal of 379219968000 is 869912973.

379219968000 is a `hidden beast` number, since 379 + 2 + 199 + 6 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2985983937 + ... + 2985984063.

Almost surely, 2^379219968000 is an apocalyptic number.

379219968000 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 379219968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715151473920).

379219968000 is an abundant number, since it is smaller than the sum of its proper divisors (1051082979840).

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

379219968000 is an frugal number, since it uses more digits than its factorization.

379219968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 379219968000 in words is "three hundred seventy-nine billion, two hundred nineteen million, nine hundred sixty-eight thousand".