680506205184 has 297 divisors, whose sum is σ = 2130947381979. Its totient is φ = 209069752320.

The previous prime is 680506205167. The next prime is 680506205251. The reversal of 680506205184 is 481502605086.

The square root of 680506205184 is 824928.

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

680506205184 is a `hidden beast` number, since 6 + 8 + 0 + 5 + 0 + 620 + 5 + 18 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3953894400 + 676552310784 = 62880^2 + 822528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1029509814 + ... + 1029510474.

Almost surely, 2^680506205184 is an apocalyptic number.

680506205184 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

680506205184 is the 824928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680506205184

680506205184 is an abundant number, since it is smaller than the sum of its proper divisors (1450441176795).

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

680506205184 is an equidigital number, since it uses as much as digits as its factorization.

680506205184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 680506205184 in words is "six hundred eighty billion, five hundred six million, two hundred five thousand, one hundred eighty-four".