382062774300480 has 4032 divisors, whose sum is σ = 1761711949670400. Its totient is φ = 78361261719552.

The previous prime is 382062774300391. The next prime is 382062774300481. The reversal of 382062774300480 is 84003477260283.

It is a happy number.

382062774300480 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 62 + 7 + 74 + 30 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382062774300481) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 346385107609 + ... + 346385108711.

It is an arithmetic number, because the mean of its divisors is an integer number (436932527200).

Almost surely, 2^{382062774300480} is an apocalyptic number.

382062774300480 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 382062774300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880855974835200).

382062774300480 is an abundant number, since it is smaller than the sum of its proper divisors (1379649175369920).

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

382062774300480 is an equidigital number, since it uses as much as digits as its factorization.

382062774300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 382062774300480 in words is "three hundred eighty-two trillion, sixty-two billion, seven hundred seventy-four million, three hundred thousand, four hundred eighty".