642622500 has 225 divisors, whose sum is σ = 2199007811. Its totient is φ = 158184000.

The previous prime is 642622469. The next prime is 642622501. The reversal of 642622500 is 5226246.

The square root of 642622500 is 25350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 12 ways, for example, as 150847524 + 491774976 = 12282^2 + 22176^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not an unprimeable number, because it can be changed into a prime (642622501) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 49432494 + ... + 49432506.

Almost surely, 2^642622500 is an apocalyptic number.

642622500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

642622500 is the 25350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642622500

642622500 is an abundant number, since it is smaller than the sum of its proper divisors (1556385311).

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

642622500 is an equidigital number, since it uses as much as digits as its factorization.

642622500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The cubic root of 642622500 is about 862.9493562702.

Adding to 642622500 its reverse (5226246), we get a palindrome (647848746).

The spelling of 642622500 in words is "six hundred forty-two million, six hundred twenty-two thousand, five hundred".