642612014220 has 192 divisors, whose sum is σ = 1976569620480. Its totient is φ = 154701388800.

The previous prime is 642612014171. The next prime is 642612014227. The reversal of 642612014220 is 22410216246.

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

It is not an unprimeable number, because it can be changed into a prime (642612014227) 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 63 ways as a sum of consecutive naturals, for example, 92339101 + ... + 92346059.

It is an arithmetic number, because the mean of its divisors is an integer number (10294633440).

Almost surely, 2^642612014220 is an apocalyptic number.

642612014220 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 642612014220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988284810240).

642612014220 is an abundant number, since it is smaller than the sum of its proper divisors (1333957606260).

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

642612014220 is a wasteful number, since it uses less digits than its factorization.

642612014220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7936 (or 7934 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 642612014220 in words is "six hundred forty-two billion, six hundred twelve million, fourteen thousand, two hundred twenty".