168388784640 has 480 divisors, whose sum is σ = 602639397360. Its totient is φ = 43429920768.

The previous prime is 168388784581. The next prime is 168388784651. The reversal of 168388784640 is 46487883861.

168388784640 is a `hidden beast` number, since 1 + 68 + 38 + 87 + 8 + 464 + 0 = 666.

168388784640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 95644221696 + 72744562944 = 309264^2 + 269712^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89140816 + ... + 89142704.

Almost surely, 2^168388784640 is an apocalyptic number.

168388784640 is a gapful number since it is divisible by the number (10) 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 168388784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301319698680).

168388784640 is an abundant number, since it is smaller than the sum of its proper divisors (434250612720).

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

168388784640 is a wasteful number, since it uses less digits than its factorization.

168388784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 168388784640 in words is "one hundred sixty-eight billion, three hundred eighty-eight million, seven hundred eighty-four thousand, six hundred forty".