379786344468480 has 312 divisors, whose sum is σ = 1365188700500352. Its totient is φ = 101276357197824.

The previous prime is 379786344468439. The next prime is 379786344468481. The reversal of 379786344468480 is 84864443687973.

379786344468480 is a `hidden beast` number, since 3 + 7 + 9 + 7 + 8 + 6 + 34 + 44 + 68 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 379786344468480.

It is not an unprimeable number, because it can be changed into a prime (379786344468481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33180264 + ... + 43133543.

It is an arithmetic number, because the mean of its divisors is an integer number (4375604809296).

Almost surely, 2^{379786344468480} is an apocalyptic number.

379786344468480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379786344468480 is an abundant number, since it is smaller than the sum of its proper divisors (985402356031872).

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

379786344468480 is an frugal number, since it uses more digits than its factorization.

379786344468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76313851 (or 76313817 counting only the distinct ones).

The product of its (nonzero) digits is 18728091648, while the sum is 81.

The spelling of 379786344468480 in words is "three hundred seventy-nine trillion, seven hundred eighty-six billion, three hundred forty-four million, four hundred sixty-eight thousand, four hundred eighty".