382763925019320 has 512 divisors, whose sum is σ = 1291064078868480. Its totient is φ = 90142159011840.

The previous prime is 382763925019319. The next prime is 382763925019339. The reversal of 382763925019320 is 23910529367283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4395348499 + ... + 4395435581.

It is an arithmetic number, because the mean of its divisors is an integer number (2521609529040).

Almost surely, 2^{382763925019320} is an apocalyptic number.

382763925019320 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 382763925019320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645532039434240).

382763925019320 is an abundant number, since it is smaller than the sum of its proper divisors (908300153849160).

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

382763925019320 is a wasteful number, since it uses less digits than its factorization.

382763925019320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88175 (or 88171 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 382763925019320 in words is "three hundred eighty-two trillion, seven hundred sixty-three billion, nine hundred twenty-five million, nineteen thousand, three hundred twenty".