642210628410 has 384 divisors, whose sum is σ = 1958644800000. Its totient is φ = 149712541056.

The previous prime is 642210628393. The next prime is 642210628417. The reversal of 642210628410 is 14826012246.

642210628410 is a `hidden beast` number, since 6 + 4 + 2 + 2 + 10 + 628 + 4 + 10 = 666.

It is not an unprimeable number, because it can be changed into a prime (642210628417) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 214140091 + ... + 214143089.

It is an arithmetic number, because the mean of its divisors is an integer number (5100637500).

Almost surely, 2^642210628410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642210628410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979322400000).

642210628410 is an abundant number, since it is smaller than the sum of its proper divisors (1316434171590).

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

642210628410 is a wasteful number, since it uses less digits than its factorization.

642210628410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 642210628410 in words is "six hundred forty-two billion, two hundred ten million, six hundred twenty-eight thousand, four hundred ten".