642646306350 has 192 divisors, whose sum is σ = 1807106837760. Its totient is φ = 167886000000.

The previous prime is 642646306339. The next prime is 642646306363. The reversal of 642646306350 is 53603646246.

642646306350 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 4 + 6 + 3 + 0 + 635 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 642646306296 and 642646306305.

It is a congruent number.

It is an unprimeable number.

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, 20654305 + ... + 20685395.

It is an arithmetic number, because the mean of its divisors is an integer number (9412014780).

Almost surely, 2^642646306350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642646306350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903553418880).

642646306350 is an abundant number, since it is smaller than the sum of its proper divisors (1164460531410).

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

642646306350 is a wasteful number, since it uses less digits than its factorization.

642646306350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31424 (or 31413 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 642646306350 in words is "six hundred forty-two billion, six hundred forty-six million, three hundred six thousand, three hundred fifty".