382029740064 has 288 divisors, whose sum is σ = 1308700987776. Its totient is φ = 107361054720.

The previous prime is 382029740047. The next prime is 382029740083. The reversal of 382029740064 is 460047920283.

382029740064 is a `hidden beast` number, since 38 + 202 + 9 + 7 + 400 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3262824 + ... + 3377880.

It is an arithmetic number, because the mean of its divisors is an integer number (4544100652).

Almost surely, 2^382029740064 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 382029740064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654350493888).

382029740064 is an abundant number, since it is smaller than the sum of its proper divisors (926671247712).

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

382029740064 is a wasteful number, since it uses less digits than its factorization.

382029740064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115150 (or 115130 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 382029740064 in words is "three hundred eighty-two billion, twenty-nine million, seven hundred forty thousand, sixty-four".