382769821304640 has 4480 divisors, whose sum is σ = 1798787529842688. Its totient is φ = 74912127713280.

The previous prime is 382769821304639. The next prime is 382769821304693. The reversal of 382769821304640 is 46403128967283.

382769821304640 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 69 + 82 + 1 + 30 + 464 + 0 = 666.

It is a super-2 number, since 2×382769821304640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1246807235367 + ... + 1246807235673.

Almost surely, 2^{382769821304640} is an apocalyptic number.

382769821304640 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 382769821304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899393764921344).

382769821304640 is an abundant number, since it is smaller than the sum of its proper divisors (1416017708538048).

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

382769821304640 is a wasteful number, since it uses less digits than its factorization.

382769821304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 382769821304640 in words is "three hundred eighty-two trillion, seven hundred sixty-nine billion, eight hundred twenty-one million, three hundred four thousand, six hundred forty".