641697123600 has 675 divisors, whose sum is σ = 2443356716073. Its totient is φ = 155956769280.

The previous prime is 641697123593. The next prime is 641697123607. The reversal of 641697123600 is 6321796146.

The square root of 641697123600 is 801060.

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

641697123600 is a `hidden beast` number, since 6 + 4 + 16 + 9 + 7 + 1 + 23 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (641697123593) and next prime (641697123607).

It can be written as a sum of positive squares in 7 ways, for example, as 629604162576 + 12092961024 = 793476^2 + 109968^2 .

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

It is not an unprimeable number, because it can be changed into a prime (641697123607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8122748361 + ... + 8122748439.

Almost surely, 2^641697123600 is an apocalyptic number.

641697123600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

641697123600 is the 801060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641697123600

641697123600 is an abundant number, since it is smaller than the sum of its proper divisors (1801659592473).

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

641697123600 is an equidigital number, since it uses as much as digits as its factorization.

641697123600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 641697123600 in words is "six hundred forty-one billion, six hundred ninety-seven million, one hundred twenty-three thousand, six hundred".