382267408320 has 2240 divisors, whose sum is σ = 1746674688000. Its totient is φ = 79009136640.

The previous prime is 382267408319. The next prime is 382267408331. The reversal of 382267408320 is 23804762283.

382267408320 is a `hidden beast` number, since 38 + 226 + 74 + 0 + 8 + 320 = 666.

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

It is a super-2 number, since 2×382267408320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5236539804 + ... + 5236539876.

Almost surely, 2^382267408320 is an apocalyptic number.

382267408320 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 382267408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873337344000).

382267408320 is an abundant number, since it is smaller than the sum of its proper divisors (1364407279680).

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

382267408320 is a wasteful number, since it uses less digits than its factorization.

382267408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 382267408320 in words is "three hundred eighty-two billion, two hundred sixty-seven million, four hundred eight thousand, three hundred twenty".