384807646080 has 1440 divisors, whose sum is σ = 1641362977800. Its totient is φ = 86110801920.

The previous prime is 384807646073. The next prime is 384807646103. The reversal of 384807646080 is 80646708483.

384807646080 is a `hidden beast` number, since 38 + 4 + 8 + 0 + 76 + 460 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 29600588154 + ... + 29600588166.

Almost surely, 2^384807646080 is an apocalyptic number.

384807646080 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 384807646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820681488900).

384807646080 is an abundant number, since it is smaller than the sum of its proper divisors (1256555331720).

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

384807646080 is an frugal number, since it uses more digits than its factorization.

384807646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 384807646080 in words is "three hundred eighty-four billion, eight hundred seven million, six hundred forty-six thousand, eighty".