379083032640 has 2016 divisors, whose sum is σ = 1662943201920. Its totient is φ = 81266540544.

The previous prime is 379083032611. The next prime is 379083032681. The reversal of 379083032640 is 46230380973.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8815884459 + ... + 8815884501.

It is an arithmetic number, because the mean of its divisors is an integer number (824872620).

Almost surely, 2^379083032640 is an apocalyptic number.

379083032640 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 379083032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831471600960).

379083032640 is an abundant number, since it is smaller than the sum of its proper divisors (1283860169280).

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

379083032640 is a wasteful number, since it uses less digits than its factorization.

379083032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 379083032640 in words is "three hundred seventy-nine billion, eighty-three million, thirty-two thousand, six hundred forty".