168041744640 has 2160 divisors, whose sum is σ = 795773873664. Its totient is φ = 33443020800.

The previous prime is 168041744627. The next prime is 168041744683. The reversal of 168041744640 is 46447140861.

168041744640 is a `hidden beast` number, since 1 + 6 + 80 + 41 + 74 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1732389072 + ... + 1732389168.

Almost surely, 2^168041744640 is an apocalyptic number.

168041744640 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 168041744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397886936832).

168041744640 is an abundant number, since it is smaller than the sum of its proper divisors (627732129024).

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

168041744640 is a wasteful number, since it uses less digits than its factorization.

168041744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

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

The spelling of 168041744640 in words is "one hundred sixty-eight billion, forty-one million, seven hundred forty-four thousand, six hundred forty".