642650112 has 260 divisors, whose sum is σ = 2081333100. Its totient is φ = 196411392.

The previous prime is 642650101. The next prime is 642650143. The reversal of 642650112 is 211056246.

642650112 is a `hidden beast` number, since 6 + 4 + 2 + 650 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84934656 + 557715456 = 9216^2 + 23616^2 .

It is a super-2 number, since 2×642650112² = 825998332907225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4313014 + ... + 4313162.

Almost surely, 2^642650112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642650112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040666550).

642650112 is an abundant number, since it is smaller than the sum of its proper divisors (1438682988).

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

642650112 is a wasteful number, since it uses less digits than its factorization.

642650112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 642650112 is about 25350.5446095345. The cubic root of 642650112 is about 862.9617157380.

The spelling of 642650112 in words is "six hundred forty-two million, six hundred fifty thousand, one hundred twelve".