642145352900 has 18 divisors (see below), whose sum is σ = 1393455416010. Its totient is φ = 256858141120.

The previous prime is 642145352879. The next prime is 642145352971. The reversal of 642145352900 is 9253541246.

It can be written as a sum of positive squares in 3 ways, for example, as 38366623876 + 603778729024 = 195874^2 + 777032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3210726665 + ... + 3210726864.

Almost surely, 2^642145352900 is an apocalyptic number.

It is an amenable number.

642145352900 is an abundant number, since it is smaller than the sum of its proper divisors (751310063110).

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

642145352900 is a wasteful number, since it uses less digits than its factorization.

642145352900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6421453543 (or 6421453536 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 642145352900 in words is "six hundred forty-two billion, one hundred forty-five million, three hundred fifty-two thousand, nine hundred".