168984976343040 has 5760 divisors, whose sum is σ = 779064836659200. Its totient is φ = 34531033743360.

The previous prime is 168984976342997. The next prime is 168984976343041. The reversal of 168984976343040 is 40343679489861.

It is a happy number.

168984976343040 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 8 + 4 + 97 + 63 + 430 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 168984976343040.

It is not an unprimeable number, because it can be changed into a prime (168984976343041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1898707599316 + ... + 1898707599404.

It is an arithmetic number, because the mean of its divisors is an integer number (135254311920).

Almost surely, 2^{168984976343040} is an apocalyptic number.

168984976343040 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 168984976343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389532418329600).

168984976343040 is an abundant number, since it is smaller than the sum of its proper divisors (610079860316160).

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

168984976343040 is a wasteful number, since it uses less digits than its factorization.

168984976343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 168984976343040 in words is "one hundred sixty-eight trillion, nine hundred eighty-four billion, nine hundred seventy-six million, three hundred forty-three thousand, forty".