642642263010 has 192 divisors, whose sum is σ = 1854167777280. Its totient is φ = 153126080640.

The previous prime is 642642262979. The next prime is 642642263047. The reversal of 642642263010 is 10362246246.

642642263010 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 4 + 2 + 2 + 630 + 10 = 666.

It is a super-2 number, since 2×642642263010² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17422407 + ... + 17459253.

It is an arithmetic number, because the mean of its divisors is an integer number (9657123840).

Almost surely, 2^642642263010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642642263010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927083888640).

642642263010 is an abundant number, since it is smaller than the sum of its proper divisors (1211525514270).

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

642642263010 is a wasteful number, since it uses less digits than its factorization.

642642263010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37173 (or 37170 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 642642263010 in words is "six hundred forty-two billion, six hundred forty-two million, two hundred sixty-three thousand, ten".