643354624 has 104 divisors (see below), whose sum is σ = 1427199840. Its totient is φ = 287539200.

The previous prime is 643354619. The next prime is 643354633. The reversal of 643354624 is 426453346.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4911039 + ... + 4911169.

Almost surely, 2^643354624 is an apocalyptic number.

643354624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643354624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713599920).

643354624 is an abundant number, since it is smaller than the sum of its proper divisors (783845216).

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

643354624 is a wasteful number, since it uses less digits than its factorization.

643354624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 253 counting only the distinct ones).

The product of its digits is 207360, while the sum is 37.

The square root of 643354624 is about 25364.4362050490. The cubic root of 643354624 is about 863.2769442191.

The spelling of 643354624 in words is "six hundred forty-three million, three hundred fifty-four thousand, six hundred twenty-four".