382867248960 has 2240 divisors, whose sum is σ = 1784440627200. Its totient is φ = 75820105728.

The previous prime is 382867248923. The next prime is 382867248983. The reversal of 382867248960 is 69842768283.

382867248960 is a `hidden beast` number, since 3 + 8 + 2 + 86 + 72 + 489 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2754440571 + ... + 2754440709.

It is an arithmetic number, because the mean of its divisors is an integer number (796625280).

Almost surely, 2^382867248960 is an apocalyptic number.

382867248960 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 382867248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892220313600).

382867248960 is an abundant number, since it is smaller than the sum of its proper divisors (1401573378240).

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

382867248960 is a wasteful number, since it uses less digits than its factorization.

382867248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 382867248960 in words is "three hundred eighty-two billion, eight hundred sixty-seven million, two hundred forty-eight thousand, nine hundred sixty".