382613319960 has 256 divisors, whose sum is σ = 1255680921600. Its totient is φ = 92848128000.

The previous prime is 382613319947. The next prime is 382613319967. The reversal of 382613319960 is 69913316283.

It is a happy number.

It is a super-2 number, since 2×382613319960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382613319967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101245351 + ... + 101249129.

It is an arithmetic number, because the mean of its divisors is an integer number (4905003600).

Almost surely, 2^382613319960 is an apocalyptic number.

382613319960 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 382613319960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627840460800).

382613319960 is an abundant number, since it is smaller than the sum of its proper divisors (873067601640).

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

382613319960 is a wasteful number, since it uses less digits than its factorization.

382613319960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 382613319960 in words is "three hundred eighty-two billion, six hundred thirteen million, three hundred nineteen thousand, nine hundred sixty".