384264827712 has 224 divisors, whose sum is σ = 1162701296640. Its totient is φ = 124396715520.

The previous prime is 384264827707. The next prime is 384264827717. The reversal of 384264827712 is 217728462483.

384264827712 is a `hidden beast` number, since 3 + 84 + 2 + 6 + 482 + 77 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (384264827707) and next prime (384264827717).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384264827717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8196723 + ... + 8243469.

Almost surely, 2^384264827712 is an apocalyptic number.

384264827712 is a gapful number since it is divisible by the number (32) 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 384264827712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581350648320).

384264827712 is an abundant number, since it is smaller than the sum of its proper divisors (778436468928).

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

384264827712 is a wasteful number, since it uses less digits than its factorization.

384264827712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46906 (or 46890 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 384264827712 in words is "three hundred eighty-four billion, two hundred sixty-four million, eight hundred twenty-seven thousand, seven hundred twelve".