642222624 has 48 divisors (see below), whose sum is σ = 1717656192. Its totient is φ = 210033408.

The previous prime is 642222601. The next prime is 642222643. The reversal of 642222624 is 426222246.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 642222591 and 642222600.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 58024 + ... + 68199.

It is an arithmetic number, because the mean of its divisors is an integer number (35784504).

Almost surely, 2^642222624 is an apocalyptic number.

It is an amenable number.

642222624 is an abundant number, since it is smaller than the sum of its proper divisors (1075433568).

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

642222624 is a wasteful number, since it uses less digits than its factorization.

642222624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126289 (or 126281 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 642222624 is about 25342.1116720766. Note that the first 3 decimals coincide. The cubic root of 642222624 is about 862.7703271947.

The spelling of 642222624 in words is "six hundred forty-two million, two hundred twenty-two thousand, six hundred twenty-four".