166304240640 has 704 divisors, whose sum is σ = 612952369920. Its totient is φ = 42732748800.

The previous prime is 166304240639. The next prime is 166304240651. The reversal of 166304240640 is 46042403661.

166304240640 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 0 + 4 + 2 + 4 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 166304240595 and 166304240604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 600376182 + ... + 600376458.

It is an arithmetic number, because the mean of its divisors is an integer number (870670980).

Almost surely, 2^166304240640 is an apocalyptic number.

166304240640 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 166304240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306476184960).

166304240640 is an abundant number, since it is smaller than the sum of its proper divisors (446648129280).

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

166304240640 is a wasteful number, since it uses less digits than its factorization.

166304240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 166304240640 in words is "one hundred sixty-six billion, three hundred four million, two hundred forty thousand, six hundred forty".