65736000000 has 840 divisors, whose sum is σ = 261820711152. Its totient is φ = 15744000000.

The previous prime is 65735999977. The next prime is 65736000047. The reversal of 65736000000 is 63756.

65736000000 is a `hidden beast` number, since 6 + 57 + 3 + 600 + 0 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 791999959 + ... + 792000041.

Almost surely, 2^65736000000 is an apocalyptic number.

65736000000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65736000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130910355576).

65736000000 is an abundant number, since it is smaller than the sum of its proper divisors (196084711152).

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

65736000000 is an frugal number, since it uses more digits than its factorization.

65736000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 65736000000 its reverse (63756), we get a palindrome (65736063756).

The spelling of 65736000000 in words is "sixty-five billion, seven hundred thirty-six million", and thus it is an aban number.