387961668864 has 1080 divisors, whose sum is σ = 1478967759360. Its totient is φ = 95678668800.

The previous prime is 387961668817. The next prime is 387961668883. The reversal of 387961668864 is 468866169783.

387961668864 is a `hidden beast` number, since 387 + 9 + 6 + 166 + 8 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 387961668792 and 387961668801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7320031462 + ... + 7320031514.

It is an arithmetic number, because the mean of its divisors is an integer number (1369414592).

Almost surely, 2^387961668864 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 387961668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739483879680).

387961668864 is an abundant number, since it is smaller than the sum of its proper divisors (1091006090496).

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

387961668864 is an equidigital number, since it uses as much as digits as its factorization.

387961668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 107 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 387961668864 in words is "three hundred eighty-seven billion, nine hundred sixty-one million, six hundred sixty-eight thousand, eight hundred sixty-four".