642800000 has 96 divisors (see below), whose sum is σ = 1601616240. Its totient is φ = 256960000.

The previous prime is 642799999. The next prime is 642800003. The reversal of 642800000 is 8246.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642800003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399197 + ... + 400803.

Almost surely, 2^642800000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800808120).

642800000 is an abundant number, since it is smaller than the sum of its proper divisors (958816240).

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

642800000 is an frugal number, since it uses more digits than its factorization.

642800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 642800000 is about 25353.5007444731. The cubic root of 642800000 is about 863.0288012580.

Adding to 642800000 its reverse (8246), we get a palindrome (642808246).

The spelling of 642800000 in words is "six hundred forty-two million, eight hundred thousand".