384796409760 has 672 divisors, whose sum is σ = 1568663107200. Its totient is φ = 87335553024.

The previous prime is 384796409731. The next prime is 384796409821. The reversal of 384796409760 is 67904697483.

384796409760 is a `hidden beast` number, since 3 + 84 + 7 + 96 + 409 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 121653939 + ... + 121657101.

It is an arithmetic number, because the mean of its divisors is an integer number (2334320100).

Almost surely, 2^384796409760 is an apocalyptic number.

384796409760 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 384796409760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784331553600).

384796409760 is an abundant number, since it is smaller than the sum of its proper divisors (1183866697440).

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

384796409760 is a wasteful number, since it uses less digits than its factorization.

384796409760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 384796409760 in words is "three hundred eighty-four billion, seven hundred ninety-six million, four hundred nine thousand, seven hundred sixty".