168774008832000 has 5120 divisors, whose sum is σ = 791454343680000. Its totient is φ = 34879832064000.

The previous prime is 168774008831947. The next prime is 168774008832001. The reversal of 168774008832000 is 238800477861.

It is a happy number.

168774008832000 is a `hidden beast` number, since 1 + 68 + 77 + 400 + 88 + 32 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168774008832001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5819793407986 + ... + 5819793408014.

It is an arithmetic number, because the mean of its divisors is an integer number (154580926500).

Almost surely, 2^{168774008832000} is an apocalyptic number.

168774008832000 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 168774008832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395727171840000).

168774008832000 is an abundant number, since it is smaller than the sum of its proper divisors (622680334848000).

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

168774008832000 is an equidigital number, since it uses as much as digits as its factorization.

168774008832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 168774008832000 in words is "one hundred sixty-eight trillion, seven hundred seventy-four billion, eight million, eight hundred thirty-two thousand".