379147276327680 has 3456 divisors, whose sum is σ = 1702334247936000. Its totient is φ = 78053502320640.

The previous prime is 379147276327627. The next prime is 379147276327681. The reversal of 379147276327680 is 86723672741973.

379147276327680 is a `hidden beast` number, since 3 + 7 + 9 + 1 + 4 + 7 + 276 + 3 + 276 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 379147276327599 and 379147276327608.

It is not an unprimeable number, because it can be changed into a prime (379147276327681) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 513054500751 + ... + 513054501489.

Almost surely, 2^{379147276327680} is an apocalyptic number.

379147276327680 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 379147276327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851167123968000).

379147276327680 is an abundant number, since it is smaller than the sum of its proper divisors (1323186971608320).

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

379147276327680 is a wasteful number, since it uses less digits than its factorization.

379147276327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 896168448, while the sum is 72.

The spelling of 379147276327680 in words is "three hundred seventy-nine trillion, one hundred forty-seven billion, two hundred seventy-six million, three hundred twenty-seven thousand, six hundred eighty".