642361344 has 48 divisors (see below), whose sum is σ = 1712561760. Its totient is φ = 214118400.

The previous prime is 642361331. The next prime is 642361351. The reversal of 642361344 is 443163246.

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 an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46132 + ... + 58419.

It is an arithmetic number, because the mean of its divisors is an integer number (35678370).

Almost surely, 2^642361344 is an apocalyptic number.

642361344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

642361344 is an abundant number, since it is smaller than the sum of its proper divisors (1070200416).

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

642361344 is a wasteful number, since it uses less digits than its factorization.

642361344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104576 (or 104556 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 642361344 is about 25344.8484706459. The cubic root of 642361344 is about 862.8324421473.

The spelling of 642361344 in words is "six hundred forty-two million, three hundred sixty-one thousand, three hundred forty-four".