606965646400 has 63 divisors (see below), whose sum is σ = 1493591528559. Its totient is φ = 242773793280.

The previous prime is 606965646323. The next prime is 606965646409. The reversal of 606965646400 is 4646569606.

The square root of 606965646400 is 779080.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3597120576 + 603368525824 = 59976^2 + 776768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (606965646409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31153462 + ... + 31172938.

Almost surely, 2^606965646400 is an apocalyptic number.

606965646400 is the 779080-th square number.

It is an amenable number.

606965646400 is an abundant number, since it is smaller than the sum of its proper divisors (886625882159).

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

606965646400 is an frugal number, since it uses more digits than its factorization.

606965646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38976 (or 19484 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 52.

The spelling of 606965646400 in words is "six hundred six billion, nine hundred sixty-five million, six hundred forty-six thousand, four hundred".