642101760 has 360 divisors, whose sum is σ = 2377063260. Its totient is φ = 159989760.

The previous prime is 642101753. The next prime is 642101767. The reversal of 642101760 is 67101246.

642101760 is a `hidden beast` number, since 642 + 1 + 0 + 17 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (642101753) and next prime (642101767).

It can be written as a sum of positive squares in 2 ways, for example, as 639887616 + 2214144 = 25296^2 + 1488^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (642101767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20712945 + ... + 20712975.

Almost surely, 2^642101760 is an apocalyptic number.

642101760 is a gapful number since it is divisible by the number (60) 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 642101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188531630).

642101760 is an abundant number, since it is smaller than the sum of its proper divisors (1734961500).

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

642101760 is a wasteful number, since it uses less digits than its factorization.

642101760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 642101760 is about 25339.7269124985. The cubic root of 642101760 is about 862.7162003695.

The spelling of 642101760 in words is "six hundred forty-two million, one hundred one thousand, seven hundred sixty".