379465841664 has 704 divisors, whose sum is σ = 1412999884800. Its totient is φ = 97919041536.

The previous prime is 379465841663. The next prime is 379465841747. The reversal of 379465841664 is 466148564973.

379465841664 is a `hidden beast` number, since 3 + 7 + 9 + 46 + 584 + 1 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379465841663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118248892 + ... + 118252100.

Almost surely, 2^379465841664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379465841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706499942400).

379465841664 is an abundant number, since it is smaller than the sum of its proper divisors (1033534043136).

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

379465841664 is a wasteful number, since it uses less digits than its factorization.

379465841664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3281 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 379465841664 in words is "three hundred seventy-nine billion, four hundred sixty-five million, eight hundred forty-one thousand, six hundred sixty-four".