382770069968 has 120 divisors (see below), whose sum is σ = 889900766664. Its totient is φ = 158402027520.

The previous prime is 382770069937. The next prime is 382770069977. The reversal of 382770069968 is 869960077283.

It can be written as a sum of positive squares in 4 ways, for example, as 22472408464 + 360297661504 = 149908^2 + 600248^2 .

It is a super-3 number, since 3×382770069968³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1733096 + ... + 1941432.

Almost surely, 2^382770069968 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 382770069968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444950383332).

382770069968 is an abundant number, since it is smaller than the sum of its proper divisors (507130696696).

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

382770069968 is a wasteful number, since it uses less digits than its factorization.

382770069968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208453 (or 208436 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 65.

The spelling of 382770069968 in words is "three hundred eighty-two billion, seven hundred seventy million, sixty-nine thousand, nine hundred sixty-eight".