384071491760 has 720 divisors, whose sum is σ = 1114260870240. Its totient is φ = 122563584000.

The previous prime is 384071491717. The next prime is 384071491777. The reversal of 384071491760 is 67194170483.

It is a junction number, because it is equal to n+sod(n) for n = 384071491699 and 384071491708.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7246631894 + ... + 7246631946.

It is an arithmetic number, because the mean of its divisors is an integer number (1547584542).

Almost surely, 2^384071491760 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 384071491760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557130435120).

384071491760 is an abundant number, since it is smaller than the sum of its proper divisors (730189378480).

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

384071491760 is a wasteful number, since it uses less digits than its factorization.

384071491760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 384071491760 in words is "three hundred eighty-four billion, seventy-one million, four hundred ninety-one thousand, seven hundred sixty".