642200626020 has 96 divisors (see below), whose sum is σ = 1820152156032. Its totient is φ = 169159917568.

The previous prime is 642200626013. The next prime is 642200626033. The reversal of 642200626020 is 20626002246.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47168734 + ... + 47182346.

It is an arithmetic number, because the mean of its divisors is an integer number (18959918292).

Almost surely, 2^642200626020 is an apocalyptic number.

642200626020 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 642200626020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910076078016).

642200626020 is an abundant number, since it is smaller than the sum of its proper divisors (1177951530012).

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

642200626020 is a wasteful number, since it uses less digits than its factorization.

642200626020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23181 (or 23179 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 642200626020 its reverse (20626002246), we get a palindrome (662826628266).

The spelling of 642200626020 in words is "six hundred forty-two billion, two hundred million, six hundred twenty-six thousand, twenty".