667734122500 has 135 divisors (see below), whose sum is σ = 1490751329529. Its totient is φ = 261618744000.

The previous prime is 667734122467. The next prime is 667734122519. The reversal of 667734122500 is 5221437766.

The square root of 667734122500 is 817150.

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

It can be written as a sum of positive squares in 7 ways, for example, as 653921291716 + 13812830784 = 808654^2 + 117528^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2410592362 + ... + 2410592638.

Almost surely, 2^667734122500 is an apocalyptic number.

667734122500 is the 817150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667734122500

667734122500 is an abundant number, since it is smaller than the sum of its proper divisors (823017207029).

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

667734122500 is an frugal number, since it uses more digits than its factorization.

667734122500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 667734122500 in words is "six hundred sixty-seven billion, seven hundred thirty-four million, one hundred twenty-two thousand, five hundred".