168627342240 has 288 divisors, whose sum is σ = 682005018240. Its totient is φ = 38543330304.

The previous prime is 168627342229. The next prime is 168627342307. The reversal of 168627342240 is 42243726861.

It is a happy number.

168627342240 is a `hidden beast` number, since 1 + 6 + 8 + 62 + 7 + 342 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37635 + ... + 581954.

It is an arithmetic number, because the mean of its divisors is an integer number (2368072980).

Almost surely, 2^168627342240 is an apocalyptic number.

168627342240 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 168627342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341002509120).

168627342240 is an abundant number, since it is smaller than the sum of its proper divisors (513377676000).

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

168627342240 is an equidigital number, since it uses as much as digits as its factorization.

168627342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619626 (or 619606 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 168627342240 in words is "one hundred sixty-eight billion, six hundred twenty-seven million, three hundred forty-two thousand, two hundred forty".