65735239680 has 576 divisors, whose sum is σ = 252850066560. Its totient is φ = 15659827200.

The previous prime is 65735239613. The next prime is 65735239697. The reversal of 65735239680 is 8693253756.

It is a happy number.

65735239680 is a `hidden beast` number, since 6 + 57 + 3 + 523 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×65735239680² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 61838829 + ... + 61839891.

It is an arithmetic number, because the mean of its divisors is an integer number (438975810).

Almost surely, 2^65735239680 is an apocalyptic number.

65735239680 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 65735239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126425033280).

65735239680 is an abundant number, since it is smaller than the sum of its proper divisors (187114826880).

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

65735239680 is a wasteful number, since it uses less digits than its factorization.

65735239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 65735239680 in words is "sixty-five billion, seven hundred thirty-five million, two hundred thirty-nine thousand, six hundred eighty".