384781074480 has 720 divisors, whose sum is σ = 1452267048960. Its totient is φ = 91212549120.

The previous prime is 384781074421. The next prime is 384781074511. The reversal of 384781074480 is 84470187483.

384781074480 is a `hidden beast` number, since 3 + 84 + 7 + 8 + 10 + 74 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 918331711 + ... + 918332129.

It is an arithmetic number, because the mean of its divisors is an integer number (2017037568).

Almost surely, 2^384781074480 is an apocalyptic number.

384781074480 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 384781074480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726133524480).

384781074480 is an abundant number, since it is smaller than the sum of its proper divisors (1067485974480).

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

384781074480 is a wasteful number, since it uses less digits than its factorization.

384781074480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 384781074480 in words is "three hundred eighty-four billion, seven hundred eighty-one million, seventy-four thousand, four hundred eighty".