642558612300 has 144 divisors (see below), whose sum is σ = 2056714861824. Its totient is φ = 153577760000.

The previous prime is 642558612299. The next prime is 642558612329. The reversal of 642558612300 is 3216855246.

It is a super-2 number, since 2×642558612300² (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 47 ways as a sum of consecutive naturals, for example, 1136931 + ... + 1605530.

It is an arithmetic number, because the mean of its divisors is an integer number (14282742096).

Almost surely, 2^642558612300 is an apocalyptic number.

642558612300 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642558612300 is an abundant number, since it is smaller than the sum of its proper divisors (1414156249524).

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

642558612300 is a wasteful number, since it uses less digits than its factorization.

642558612300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742560 (or 2742553 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 642558612300 in words is "six hundred forty-two billion, five hundred fifty-eight million, six hundred twelve thousand, three hundred".