387668068992 has 192 divisors, whose sum is σ = 1154700424800. Its totient is φ = 124693481472.

The previous prime is 387668068919. The next prime is 387668069017. The reversal of 387668068992 is 299860866783.

387668068992 is a `hidden beast` number, since 387 + 6 + 6 + 80 + 6 + 89 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 387668068992.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111814843 + ... + 111818309.

Almost surely, 2^387668068992 is an apocalyptic number.

387668068992 is a gapful number since it is divisible by the number (32) 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 387668068992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577350212400).

387668068992 is an abundant number, since it is smaller than the sum of its proper divisors (767032355808).

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

387668068992 is a wasteful number, since it uses less digits than its factorization.

387668068992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6863 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 387668068992 in words is "three hundred eighty-seven billion, six hundred sixty-eight million, sixty-eight thousand, nine hundred ninety-two".