65433640000 has 105 divisors (see below), whose sum is σ = 162381120627. Its totient is φ = 26152992000.

The previous prime is 65433639967. The next prime is 65433640001. The reversal of 65433640000 is 4633456.

The square root of 65433640000 is 255800.

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

It can be written as a sum of positive squares in 2 ways, for example, as 5129997376 + 60303642624 = 71624^2 + 245568^2 .

It is a super-2 number, since 2×65433640000² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65433640001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 51159361 + ... + 51160639.

Almost surely, 2^65433640000 is an apocalyptic number.

65433640000 is the 255800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65433640000

65433640000 is an abundant number, since it is smaller than the sum of its proper divisors (96947480627).

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

65433640000 is an frugal number, since it uses more digits than its factorization.

65433640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The spelling of 65433640000 in words is "sixty-five billion, four hundred thirty-three million, six hundred forty thousand".