383768064000 has 1664 divisors, whose sum is σ = 1589782671360. Its totient is φ = 90832896000.

The previous prime is 383768063999. The next prime is 383768064011. The reversal of 383768064000 is 460867383.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5405183965 + ... + 5405184035.

It is an arithmetic number, because the mean of its divisors is an integer number (955398240).

Almost surely, 2^383768064000 is an apocalyptic number.

383768064000 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 383768064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794891335680).

383768064000 is an abundant number, since it is smaller than the sum of its proper divisors (1206014607360).

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

383768064000 is a wasteful number, since it uses less digits than its factorization.

383768064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 121 counting only the distinct ones).

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

The spelling of 383768064000 in words is "three hundred eighty-three billion, seven hundred sixty-eight million, sixty-four thousand".