381666509760 has 224 divisors, whose sum is σ = 1278872524800. Its totient is φ = 96171356160.

The previous prime is 381666509729. The next prime is 381666509773. The reversal of 381666509760 is 67905666183.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 381666509760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7068465 + ... + 7122255.

Almost surely, 2^381666509760 is an apocalyptic number.

381666509760 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 381666509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639436262400).

381666509760 is an abundant number, since it is smaller than the sum of its proper divisors (897206015040).

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

381666509760 is a wasteful number, since it uses less digits than its factorization.

381666509760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54219 (or 54209 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 381666509760 in words is "three hundred eighty-one billion, six hundred sixty-six million, five hundred nine thousand, seven hundred sixty".