384733649664 has 1728 divisors, whose sum is σ = 1541601152000. Its totient is φ = 94810963968.

The previous prime is 384733649647. The next prime is 384733649681. The reversal of 384733649664 is 466946337483.

384733649664 is a `hidden beast` number, since 3 + 84 + 7 + 3 + 3 + 6 + 496 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (384733649647) and next prime (384733649681).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5270323932 + ... + 5270324004.

Almost surely, 2^384733649664 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 384733649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770800576000).

384733649664 is an abundant number, since it is smaller than the sum of its proper divisors (1156867502336).

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

384733649664 is an equidigital number, since it uses as much as digits as its factorization.

384733649664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 117 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 63.

The spelling of 384733649664 in words is "three hundred eighty-four billion, seven hundred thirty-three million, six hundred forty-nine thousand, six hundred sixty-four".