643476708900 has 189 divisors, whose sum is σ = 2094263877153. Its totient is φ = 171536032800.

The previous prime is 643476708883. The next prime is 643476708907. The reversal of 643476708900 is 9807674346.

It is a happy number.

The square root of 643476708900 is 802170.

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

It can be written as a sum of positive squares in only one way, i.e., 231651615204 + 411825093696 = 481302^2 + 641736^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (643476708907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 216584415 + ... + 216587385.

Almost surely, 2^643476708900 is an apocalyptic number.

643476708900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

643476708900 is the 802170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643476708900

643476708900 is an abundant number, since it is smaller than the sum of its proper divisors (1450787168253).

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

643476708900 is an frugal number, since it uses more digits than its factorization.

643476708900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 643476708900 in words is "six hundred forty-three billion, four hundred seventy-six million, seven hundred eight thousand, nine hundred".