642045616128 has 1120 divisors, whose sum is σ = 2384140137984. Its totient is φ = 168000749568.

The previous prime is 642045616061. The next prime is 642045616129. The reversal of 642045616128 is 821616540246.

It is a happy number.

642045616128 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 4 + 5 + 616 + 1 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (642045616129) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3711246250 + ... + 3711246422.

Almost surely, 2^642045616128 is an apocalyptic number.

642045616128 is a gapful number since it is divisible by the number (68) 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 642045616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192070068992).

642045616128 is an abundant number, since it is smaller than the sum of its proper divisors (1742094521856).

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

642045616128 is a wasteful number, since it uses less digits than its factorization.

642045616128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 642045616128 in words is "six hundred forty-two billion, forty-five million, six hundred sixteen thousand, one hundred twenty-eight".