641745188100 has 729 divisors, whose sum is σ = 2235500189013. Its totient is φ = 159884746560.

The previous prime is 641745188087. The next prime is 641745188129. The reversal of 641745188100 is 1881547146.

The square root of 641745188100 is 801090.

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

641745188100 is a `hidden beast` number, since 6 + 4 + 17 + 451 + 88 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 231028267716 + 410716920384 = 480654^2 + 640872^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a super-2 number, since 2×641745188100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 14924306679 + ... + 14924306721.

Almost surely, 2^641745188100 is an apocalyptic number.

641745188100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

641745188100 is the 801090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641745188100

641745188100 is an abundant number, since it is smaller than the sum of its proper divisors (1593755000913).

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

641745188100 is an equidigital number, since it uses as much as digits as its factorization.

641745188100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 641745188100 in words is "six hundred forty-one billion, seven hundred forty-five million, one hundred eighty-eight thousand, one hundred".