642447102000 has 640 divisors, whose sum is σ = 2417533267968. Its totient is φ = 145047552000.

The previous prime is 642447101969. The next prime is 642447102001. The reversal of 642447102000 is 201744246.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (642447102001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108831049 + ... + 108836951.

Almost surely, 2^642447102000 is an apocalyptic number.

642447102000 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 642447102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208766633984).

642447102000 is an abundant number, since it is smaller than the sum of its proper divisors (1775086165968).

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

642447102000 is a wasteful number, since it uses less digits than its factorization.

642447102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6054 (or 6038 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

Adding to 642447102000 its reverse (201744246), we get a palindrome (642648846246).

It can be divided in two parts, 642447 and 102000, that added together give a palindrome (744447).

The spelling of 642447102000 in words is "six hundred forty-two billion, four hundred forty-seven million, one hundred two thousand".