642212600544 has 288 divisors, whose sum is σ = 1947750700896. Its totient is φ = 208003645440.

The previous prime is 642212600543. The next prime is 642212600567. The reversal of 642212600544 is 445006212246.

642212600544 is a `hidden beast` number, since 6 + 4 + 2 + 2 + 1 + 2 + 600 + 5 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 642212600499 and 642212600508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642212600543) 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 47 ways as a sum of consecutive naturals, for example, 373161604 + ... + 373163324.

It is an arithmetic number, because the mean of its divisors is an integer number (6763023267).

Almost surely, 2^642212600544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642212600544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973875350448).

642212600544 is an abundant number, since it is smaller than the sum of its proper divisors (1305538100352).

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

642212600544 is a wasteful number, since it uses less digits than its factorization.

642212600544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 642212600544 in words is "six hundred forty-two billion, two hundred twelve million, six hundred thousand, five hundred forty-four".