642355048104 has 384 divisors, whose sum is σ = 2143399034880. Its totient is φ = 158411635200.

The previous prime is 642355048103. The next prime is 642355048141. The reversal of 642355048104 is 401840553246.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (642355048103) 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 95 ways as a sum of consecutive naturals, for example, 21238737 + ... + 21268959.

It is an arithmetic number, because the mean of its divisors is an integer number (5581768320).

Almost surely, 2^642355048104 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 642355048104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071699517440).

642355048104 is an abundant number, since it is smaller than the sum of its proper divisors (1501043986776).

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

642355048104 is a wasteful number, since it uses less digits than its factorization.

642355048104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30341 (or 30330 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 642355048104 in words is "six hundred forty-two billion, three hundred fifty-five million, forty-eight thousand, one hundred four".