384865681968 has 120 divisors (see below), whose sum is σ = 1110774263040. Its totient is φ = 124337727360.

The previous prime is 384865681961. The next prime is 384865681997. The reversal of 384865681968 is 869186568483.

It is a happy number.

384865681968 is a `hidden beast` number, since 3 + 8 + 48 + 6 + 568 + 19 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 384865681896 and 384865681905.

It is not an unprimeable number, because it can be changed into a prime (384865681961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284205 + ... + 922227.

It is an arithmetic number, because the mean of its divisors is an integer number (9256452192).

Almost surely, 2^384865681968 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 384865681968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555387131520).

384865681968 is an abundant number, since it is smaller than the sum of its proper divisors (725908581072).

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

384865681968 is a wasteful number, since it uses less digits than its factorization.

384865681968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638167 (or 638158 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

The spelling of 384865681968 in words is "three hundred eighty-four billion, eight hundred sixty-five million, six hundred eighty-one thousand, nine hundred sixty-eight".