642611610234 has 96 divisors (see below), whose sum is σ = 1535030984448. Its totient is φ = 194275857600.

The previous prime is 642611610161. The next prime is 642611610259. The reversal of 642611610234 is 432016116246.

642611610234 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 1 + 1 + 610 + 2 + 34 = 666.

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 47 ways as a sum of consecutive naturals, for example, 10294782 + ... + 10357014.

It is an arithmetic number, because the mean of its divisors is an integer number (15989906088).

Almost surely, 2^642611610234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642611610234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767515492224).

642611610234 is an abundant number, since it is smaller than the sum of its proper divisors (892419374214).

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

642611610234 is a wasteful number, since it uses less digits than its factorization.

642611610234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62705 (or 62680 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 642611610234 in words is "six hundred forty-two billion, six hundred eleven million, six hundred ten thousand, two hundred thirty-four".