382133979360 has 864 divisors, whose sum is σ = 1604437196544. Its totient is φ = 82446336000.

The previous prime is 382133979289. The next prime is 382133979371. The reversal of 382133979360 is 63979331283.

382133979360 is a `hidden beast` number, since 3 + 8 + 213 + 397 + 9 + 36 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 382133979297 and 382133979306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89679630 + ... + 89683890.

It is an arithmetic number, because the mean of its divisors is an integer number (1856987496).

Almost surely, 2^382133979360 is an apocalyptic number.

382133979360 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 382133979360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802218598272).

382133979360 is an abundant number, since it is smaller than the sum of its proper divisors (1222303217184).

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

382133979360 is a wasteful number, since it uses less digits than its factorization.

382133979360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 382133979360 in words is "three hundred eighty-two billion, one hundred thirty-three million, nine hundred seventy-nine thousand, three hundred sixty".