642920000 has 70 divisors (see below), whose sum is σ = 1594331838. Its totient is φ = 257152000.

The previous prime is 642919999. The next prime is 642920009. The reversal of 642920000 is 29246.

It can be written as a sum of positive squares in 5 ways, for example, as 362826304 + 280093696 = 19048^2 + 16736^2 .

It is a super-2 number, since 2×642920000² = 826692252800000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (642920009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31964 + ... + 48036.

Almost surely, 2^642920000 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 642920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797165919).

642920000 is an abundant number, since it is smaller than the sum of its proper divisors (951411838).

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

642920000 is an equidigital number, since it uses as much as digits as its factorization.

642920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16105 (or 16080 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 642920000 is about 25355.8671711302. The cubic root of 642920000 is about 863.0825022600.

Adding to 642920000 its reverse (29246), we get a palindrome (642949246).

The spelling of 642920000 in words is "six hundred forty-two million, nine hundred twenty thousand".