642227610240 has 768 divisors, whose sum is σ = 2429472165120. Its totient is φ = 155700559872.

The previous prime is 642227610203. The next prime is 642227610253. The reversal of 642227610240 is 42016722246.

642227610240 is a `hidden beast` number, since 642 + 2 + 2 + 7 + 6 + 1 + 0 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 642227610195 and 642227610204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347712997 + ... + 347714843.

It is an arithmetic number, because the mean of its divisors is an integer number (3163375215).

Almost surely, 2^642227610240 is an apocalyptic number.

642227610240 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 642227610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214736082560).

642227610240 is an abundant number, since it is smaller than the sum of its proper divisors (1787244554880).

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

642227610240 is a wasteful number, since it uses less digits than its factorization.

642227610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 642227610240 in words is "six hundred forty-two billion, two hundred twenty-seven million, six hundred ten thousand, two hundred forty".