166370984640 has 448 divisors, whose sum is σ = 671693368320. Its totient is φ = 37975080960.

The previous prime is 166370984629. The next prime is 166370984671. The reversal of 166370984640 is 46489073661.

166370984640 is a `hidden beast` number, since 1 + 66 + 37 + 0 + 98 + 464 + 0 = 666.

166370984640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58724664 + ... + 58727496.

Almost surely, 2^166370984640 is an apocalyptic number.

166370984640 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 166370984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335846684160).

166370984640 is an abundant number, since it is smaller than the sum of its proper divisors (505322383680).

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

166370984640 is a wasteful number, since it uses less digits than its factorization.

166370984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 166370984640 in words is "one hundred sixty-six billion, three hundred seventy million, nine hundred eighty-four thousand, six hundred forty".