384969646080 has 1120 divisors, whose sum is σ = 1507215029760. Its totient is φ = 93640458240.

The previous prime is 384969646079. The next prime is 384969646177. The reversal of 384969646080 is 80646969483.

384969646080 is a `hidden beast` number, since 3 + 8 + 4 + 9 + 6 + 96 + 460 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 384969645999 and 384969646017.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1954160542 + ... + 1954160738.

Almost surely, 2^384969646080 is an apocalyptic number.

384969646080 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 384969646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753607514880).

384969646080 is an abundant number, since it is smaller than the sum of its proper divisors (1122245383680).

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

384969646080 is a wasteful number, since it uses less digits than its factorization.

384969646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 384969646080 in words is "three hundred eighty-four billion, nine hundred sixty-nine million, six hundred forty-six thousand, eighty".