168079242240 has 1408 divisors, whose sum is σ = 760642928640. Its totient is φ = 34239283200.

The previous prime is 168079242239. The next prime is 168079242307. The reversal of 168079242240 is 42242970861.

168079242240 is a `hidden beast` number, since 168 + 0 + 7 + 9 + 242 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 389974825 + ... + 389975255.

Almost surely, 2^168079242240 is an apocalyptic number.

168079242240 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 168079242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380321464320).

168079242240 is an abundant number, since it is smaller than the sum of its proper divisors (592563686400).

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

168079242240 is a wasteful number, since it uses less digits than its factorization.

168079242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 168079242240 in words is "one hundred sixty-eight billion, seventy-nine million, two hundred forty-two thousand, two hundred forty".