642000240000 has 1920 divisors, whose sum is σ = 2863243468800. Its totient is φ = 134701056000.

The previous prime is 642000239987. The next prime is 642000240041. The reversal of 642000240000 is 42000246.

642000240000 is a `hidden beast` number, since 6 + 420 + 0 + 0 + 240 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5055119937 + ... + 5055120063.

It is an arithmetic number, because the mean of its divisors is an integer number (1491272640).

Almost surely, 2^642000240000 is an apocalyptic number.

642000240000 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 642000240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431621734400).

642000240000 is an abundant number, since it is smaller than the sum of its proper divisors (2221243228800).

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

642000240000 is a wasteful number, since it uses less digits than its factorization.

642000240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 642000240000 its reverse (42000246), we get a palindrome (642042240246).

The spelling of 642000240000 in words is "six hundred forty-two billion, two hundred forty thousand".