65733200000 has 192 divisors, whose sum is σ = 176285357640. Its totient is φ = 24268800000.

The previous prime is 65733199949. The next prime is 65733200041. The reversal of 65733200000 is 233756.

It can be written as a sum of positive squares in 12 ways, for example, as 61969132096 + 3764067904 = 248936^2 + 61352^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5193680 + ... + 5206320.

Almost surely, 2^65733200000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65733200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88142678820).

65733200000 is an abundant number, since it is smaller than the sum of its proper divisors (110552157640).

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

65733200000 is an equidigital number, since it uses as much as digits as its factorization.

65733200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12693 (or 12661 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

Adding to 65733200000 its reverse (233756), we get a palindrome (65733433756).

The spelling of 65733200000 in words is "sixty-five billion, seven hundred thirty-three million, two hundred thousand".