387827666427648 has 288 divisors, whose sum is σ = 1100596156434432. Its totient is φ = 120956571648000.

The previous prime is 387827666427647. The next prime is 387827666427739. The reversal of 387827666427648 is 846724666728783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387827666427647) 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, 1495074918 + ... + 1495334298.

It is an arithmetic number, because the mean of its divisors is an integer number (3821514432064).

Almost surely, 2^{387827666427648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387827666427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550298078217216).

387827666427648 is an abundant number, since it is smaller than the sum of its proper divisors (712768490006784).

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

387827666427648 is a wasteful number, since it uses less digits than its factorization.

387827666427648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261271 (or 261257 counting only the distinct ones).

The product of its digits is 43698880512, while the sum is 84.

The spelling of 387827666427648 in words is "three hundred eighty-seven trillion, eight hundred twenty-seven billion, six hundred sixty-six million, four hundred twenty-seven thousand, six hundred forty-eight".