642851282304 has 1792 divisors, whose sum is σ = 2677804531200. Its totient is φ = 148343685120.

The previous prime is 642851282267. The next prime is 642851282327. The reversal of 642851282304 is 403282158246.

642851282304 is a `hidden beast` number, since 6 + 4 + 28 + 512 + 82 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 642851282304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2320762614 + ... + 2320762890.

Almost surely, 2^642851282304 is an apocalyptic number.

642851282304 is a gapful number since it is divisible by the number (64) 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 642851282304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338902265600).

642851282304 is an abundant number, since it is smaller than the sum of its proper divisors (2034953248896).

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

642851282304 is a wasteful number, since it uses less digits than its factorization.

642851282304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 642851282304 in words is "six hundred forty-two billion, eight hundred fifty-one million, two hundred eighty-two thousand, three hundred four".