379946164710528 has 2560 divisors, whose sum is σ = 1367664847718400. Its totient is φ = 103634188369920.

The previous prime is 379946164710481. The next prime is 379946164710587. The reversal of 379946164710528 is 825017461649973.

379946164710528 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 46 + 1 + 6 + 47 + 10 + 528 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 307151304726 + ... + 307151305962.

It is an arithmetic number, because the mean of its divisors is an integer number (534244081140).

It is a 2-persistent number, because it is pandigital, and so is 2⋅379946164710528 = 759892329421056, but 3⋅379946164710528 = 1139838494131584 is not.

Almost surely, 2^{379946164710528} is an apocalyptic number.

379946164710528 is a gapful number since it is divisible by the number (38) 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 379946164710528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683832423859200).

379946164710528 is an abundant number, since it is smaller than the sum of its proper divisors (987718683007872).

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

379946164710528 is a wasteful number, since it uses less digits than its factorization.

379946164710528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 379946164710528 in words is "three hundred seventy-nine trillion, nine hundred forty-six billion, one hundred sixty-four million, seven hundred ten thousand, five hundred twenty-eight".