168071982704640 has 7680 divisors, whose sum is σ = 821966745600000. Its totient is φ = 32586879467520.

The previous prime is 168071982704599. The next prime is 168071982704701. The reversal of 168071982704640 is 46407289170861.

168071982704640 is a `hidden beast` number, since 1 + 6 + 80 + 7 + 1 + 98 + 2 + 7 + 0 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2848677672931 + ... + 2848677672989.

It is an arithmetic number, because the mean of its divisors is an integer number (107026920000).

Almost surely, 2^{168071982704640} is an apocalyptic number.

168071982704640 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 168071982704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410983372800000).

168071982704640 is an abundant number, since it is smaller than the sum of its proper divisors (653894762895360).

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

168071982704640 is a wasteful number, since it uses less digits than its factorization.

168071982704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 168071982704640 in words is "one hundred sixty-eight trillion, seventy-one billion, nine hundred eighty-two million, seven hundred four thousand, six hundred forty".