379133437664 has 96 divisors (see below), whose sum is σ = 828135252000. Its totient is φ = 170124724224.

The previous prime is 379133437663. The next prime is 379133437687. The reversal of 379133437664 is 466734331973.

It is a happy number.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379133437663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 731642 + ... + 1137350.

It is an arithmetic number, because the mean of its divisors is an integer number (8626408875).

Almost surely, 2^379133437664 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 379133437664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414067626000).

379133437664 is an abundant number, since it is smaller than the sum of its proper divisors (449001814336).

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

379133437664 is a wasteful number, since it uses less digits than its factorization.

379133437664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405820 (or 405812 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 56.

The spelling of 379133437664 in words is "three hundred seventy-nine billion, one hundred thirty-three million, four hundred thirty-seven thousand, six hundred sixty-four".