642085827840 has 432 divisors, whose sum is σ = 2245822924800. Its totient is φ = 169361031168.

The previous prime is 642085827793. The next prime is 642085827863. The reversal of 642085827840 is 48728580246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 905621406 + ... + 905622114.

Almost surely, 2^642085827840 is an apocalyptic number.

642085827840 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 642085827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122911462400).

642085827840 is an abundant number, since it is smaller than the sum of its proper divisors (1603737096960).

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

642085827840 is a wasteful number, since it uses less digits than its factorization.

642085827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 642085827840 in words is "six hundred forty-two billion, eighty-five million, eight hundred twenty-seven thousand, eight hundred forty".