382506645840 has 80 divisors (see below), whose sum is σ = 1293567938496. Its totient is φ = 92728883200.

The previous prime is 382506645839. The next prime is 382506645841. The reversal of 382506645840 is 48546605283.

It is an interprime number because it is at equal distance from previous prime (382506645839) and next prime (382506645841).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×382506645840² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382506645841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72441801 + ... + 72447080.

Almost surely, 2^382506645840 is an apocalyptic number.

382506645840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382506645840 is an abundant number, since it is smaller than the sum of its proper divisors (911061292656).

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

382506645840 is a wasteful number, since it uses less digits than its factorization.

382506645840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144888908 (or 144888902 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 382506645840 in words is "three hundred eighty-two billion, five hundred six million, six hundred forty-five thousand, eight hundred forty".