65788968960 has 912 divisors, whose sum is σ = 276320220480. Its totient is φ = 14722007040.

The previous prime is 65788968937. The next prime is 65788969003. The reversal of 65788968960 is 6986988756.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5060689914 + ... + 5060689926.

Almost surely, 2^65788968960 is an apocalyptic number.

65788968960 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 65788968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138160110240).

65788968960 is an abundant number, since it is smaller than the sum of its proper divisors (210531251520).

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

65788968960 is an equidigital number, since it uses as much as digits as its factorization.

65788968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

It can be divided in two parts, 6578896 and 8960, that added together give a palindrome (6587856).

The spelling of 65788968960 in words is "sixty-five billion, seven hundred eighty-eight million, nine hundred sixty-eight thousand, nine hundred sixty".