399860844768 has 864 divisors, whose sum is σ = 1517751406080. Its totient is φ = 96893798400.

The previous prime is 399860844767. The next prime is 399860844827. The reversal of 399860844768 is 867448068993.

399860844768 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 608 + 4 + 4 + 7 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 399860844696 and 399860844705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399860844763) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 618022621 + ... + 618023267.

It is an arithmetic number, because the mean of its divisors is an integer number (1756656720).

Almost surely, 2^399860844768 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 399860844768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758875703040).

399860844768 is an abundant number, since it is smaller than the sum of its proper divisors (1117890561312).

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

399860844768 is a wasteful number, since it uses less digits than its factorization.

399860844768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 730 counting only the distinct ones).

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

The spelling of 399860844768 in words is "three hundred ninety-nine billion, eight hundred sixty million, eight hundred forty-four thousand, seven hundred sixty-eight".