168032872440 has 512 divisors, whose sum is σ = 591562137600. Its totient is φ = 42371112960.

The previous prime is 168032872379. The next prime is 168032872477. The reversal of 168032872440 is 44278230861.

It is a happy number.

168032872440 is a `hidden beast` number, since 1 + 6 + 80 + 328 + 7 + 244 + 0 = 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, 388066464 + ... + 388066896.

It is an arithmetic number, because the mean of its divisors is an integer number (1155394800).

Almost surely, 2^168032872440 is an apocalyptic number.

168032872440 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 168032872440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295781068800).

168032872440 is an abundant number, since it is smaller than the sum of its proper divisors (423529265160).

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

168032872440 is a wasteful number, since it uses less digits than its factorization.

168032872440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 168032872440 in words is "one hundred sixty-eight billion, thirty-two million, eight hundred seventy-two thousand, four hundred forty".