379411966864 has 160 divisors (see below), whose sum is σ = 896819385600. Its totient is φ = 152321218560.

The previous prime is 379411966861. The next prime is 379411966883. The reversal of 379411966864 is 468669114973.

It is a junction number, because it is equal to n+sod(n) for n = 379411966796 and 379411966805.

It is not an unprimeable number, because it can be changed into a prime (379411966861) 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 31 ways as a sum of consecutive naturals, for example, 126007119 + ... + 126010129.

It is an arithmetic number, because the mean of its divisors is an integer number (5605121160).

Almost surely, 2^379411966864 is an apocalyptic number.

379411966864 is a gapful number since it is divisible by the number (34) 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 379411966864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448409692800).

379411966864 is an abundant number, since it is smaller than the sum of its proper divisors (517407418736).

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

379411966864 is a wasteful number, since it uses less digits than its factorization.

379411966864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3266 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 64.

The spelling of 379411966864 in words is "three hundred seventy-nine billion, four hundred eleven million, nine hundred sixty-six thousand, eight hundred sixty-four".