160642944000 has 1056 divisors, whose sum is σ = 722129720832. Its totient is φ = 33361920000.

The previous prime is 160642943971. The next prime is 160642944023. The reversal of 160642944000 is 449246061.

160642944000 is a `hidden beast` number, since 1 + 6 + 0 + 642 + 9 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88703095 + ... + 88704905.

Almost surely, 2^160642944000 is an apocalyptic number.

160642944000 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 160642944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361064860416).

160642944000 is an abundant number, since it is smaller than the sum of its proper divisors (561486776832).

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

160642944000 is a wasteful number, since it uses less digits than its factorization.

160642944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 160642944000 in words is "one hundred sixty billion, six hundred forty-two million, nine hundred forty-four thousand".