642635325829440 has 336 divisors, whose sum is σ = 2329908888153600. Its totient is φ = 162128479924224.

The previous prime is 642635325829403. The next prime is 642635325829489. The reversal of 642635325829440 is 44928523536246.

642635325829440 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 3 + 5 + 3 + 2 + 582 + 9 + 4 + 40 = 666.

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 47 ways as a sum of consecutive naturals, for example, 32098801 + ... + 48120719.

Almost surely, 2^{642635325829440} is an apocalyptic number.

642635325829440 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 642635325829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164954444076800).

642635325829440 is an abundant number, since it is smaller than the sum of its proper divisors (1687273562324160).

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

642635325829440 is a wasteful number, since it uses less digits than its factorization.

642635325829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16022694 (or 16022681 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 63.

The spelling of 642635325829440 in words is "six hundred forty-two trillion, six hundred thirty-five billion, three hundred twenty-five million, eight hundred twenty-nine thousand, four hundred forty".