643476900 has 144 divisors (see below), whose sum is σ = 2042369280. Its totient is φ = 155126400.

The previous prime is 643476863. The next prime is 643476907. The reversal of 643476900 is 9674346.

643476900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×643476900² = 828125041667220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (643476907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748671 + ... + 749529.

It is an arithmetic number, because the mean of its divisors is an integer number (14183120).

Almost surely, 2^643476900 is an apocalyptic number.

643476900 is a gapful number since it is divisible by the number (60) 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 643476900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021184640).

643476900 is an abundant number, since it is smaller than the sum of its proper divisors (1398892380).

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

643476900 is a wasteful number, since it uses less digits than its factorization.

643476900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 643476900 is about 25366.8464733005. The cubic root of 643476900 is about 863.3316322356.

The spelling of 643476900 in words is "six hundred forty-three million, four hundred seventy-six thousand, nine hundred".