642934120320 has 768 divisors, whose sum is σ = 2365080120000. Its totient is φ = 160683393024.

The previous prime is 642934120319. The next prime is 642934120321. The reversal of 642934120320 is 23021439246.

642934120320 is a `hidden beast` number, since 6 + 4 + 293 + 41 + 2 + 0 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (642934120319) and next prime (642934120321).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642934120321) 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, 877126674 + ... + 877127406.

Almost surely, 2^642934120320 is an apocalyptic number.

642934120320 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 642934120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182540060000).

642934120320 is an abundant number, since it is smaller than the sum of its proper divisors (1722145999680).

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

642934120320 is a wasteful number, since it uses less digits than its factorization.

642934120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 642934120320 its reverse (23021439246), we get a palindrome (665955559566).

The spelling of 642934120320 in words is "six hundred forty-two billion, nine hundred thirty-four million, one hundred twenty thousand, three hundred twenty".