65106346800 has 480 divisors, whose sum is σ = 232963375104. Its totient is φ = 15410304000.

The previous prime is 65106346771. The next prime is 65106346829. The reversal of 65106346800 is 864360156.

It is an interprime number because it is at equal distance from previous prime (65106346771) and next prime (65106346829).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119024127 + ... + 119024673.

Almost surely, 2^65106346800 is an apocalyptic number.

65106346800 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 65106346800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116481687552).

65106346800 is an abundant number, since it is smaller than the sum of its proper divisors (167857028304).

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

65106346800 is a wasteful number, since it uses less digits than its factorization.

65106346800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 65106346800 in words is "sixty-five billion, one hundred six million, three hundred forty-six thousand, eight hundred".