65083219968 has 448 divisors, whose sum is σ = 206888193792. Its totient is φ = 17993564160.

The previous prime is 65083219939. The next prime is 65083219997. The reversal of 65083219968 is 86991238056.

It is an interprime number because it is at equal distance from previous prime (65083219939) and next prime (65083219997).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124919548 + ... + 124920068.

It is an arithmetic number, because the mean of its divisors is an integer number (461804004).

Almost surely, 2^65083219968 is an apocalyptic number.

65083219968 is a gapful number since it is divisible by the number (68) 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 65083219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103444096896).

65083219968 is an abundant number, since it is smaller than the sum of its proper divisors (141804973824).

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

65083219968 is a wasteful number, since it uses less digits than its factorization.

65083219968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 65083219968 in words is "sixty-five billion, eighty-three million, two hundred nineteen thousand, nine hundred sixty-eight".