668355300900 has 729 divisors, whose sum is σ = 2600087007609. Its totient is φ = 143152773120.

The previous prime is 668355300869. The next prime is 668355300931. The reversal of 668355300900 is 9003553866.

The square root of 668355300900 is 817530.

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

668355300900 is a `hidden beast` number, since 6 + 6 + 8 + 3 + 553 + 0 + 0 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (668355300869) and next prime (668355300931).

It can be written as a sum of positive squares in 13 ways, for example, as 8283548196 + 660071752704 = 91014^2 + 812448^2 .

It is a super-2 number, since 2×668355300900² (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, 2918581986 + ... + 2918582214.

Almost surely, 2^668355300900 is an apocalyptic number.

668355300900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

668355300900 is the 817530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668355300900

668355300900 is an abundant number, since it is smaller than the sum of its proper divisors (1931731706709).

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

668355300900 is a wasteful number, since it uses less digits than its factorization.

668355300900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 668355300900 in words is "six hundred sixty-eight billion, three hundred fifty-five million, three hundred thousand, nine hundred".