642839242500 has 540 divisors, whose sum is σ = 2512965943488. Its totient is φ = 135626400000.

The previous prime is 642839242481. The next prime is 642839242501. The reversal of 642839242500 is 5242938246.

642839242500 is a `hidden beast` number, since 6 + 4 + 2 + 8 + 392 + 4 + 250 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (642839242501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 26605425 + ... + 26629575.

Almost surely, 2^642839242500 is an apocalyptic number.

642839242500 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 642839242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256482971744).

642839242500 is an abundant number, since it is smaller than the sum of its proper divisors (1870126700988).

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

642839242500 is a wasteful number, since it uses less digits than its factorization.

642839242500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24214 (or 24181 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 642839242500 in words is "six hundred forty-two billion, eight hundred thirty-nine million, two hundred forty-two thousand, five hundred".