382609085760 has 420 divisors, whose sum is σ = 1495996074804. Its totient is φ = 92752957440.

The previous prime is 382609085759. The next prime is 382609085783. The reversal of 382609085760 is 67580906283.

It is a happy number.

382609085760 is a `hidden beast` number, since 3 + 8 + 2 + 60 + 9 + 0 + 8 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136799378496 + 245809707264 = 369864^2 + 495792^2 .

It is a super-2 number, since 2×382609085760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 382609085697 and 382609085706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3075324 + ... + 3197316.

Almost surely, 2^382609085760 is an apocalyptic number.

382609085760 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 382609085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747998037402).

382609085760 is an abundant number, since it is smaller than the sum of its proper divisors (1113386989044).

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

382609085760 is a wasteful number, since it uses less digits than its factorization.

382609085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122044 (or 122014 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 382609085760 in words is "three hundred eighty-two billion, six hundred nine million, eighty-five thousand, seven hundred sixty".