65809766400 has 576 divisors, whose sum is σ = 251598896640. Its totient is φ = 14863564800.

The previous prime is 65809766389. The next prime is 65809766437. The reversal of 65809766400 is 466790856.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 104294085 + ... + 104294715.

It is an arithmetic number, because the mean of its divisors is an integer number (436803640).

Almost surely, 2^65809766400 is an apocalyptic number.

65809766400 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 65809766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125799448320).

65809766400 is an abundant number, since it is smaller than the sum of its proper divisors (185789130240).

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

65809766400 is a wasteful number, since it uses less digits than its factorization.

65809766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 65809766400 in words is "sixty-five billion, eight hundred nine million, seven hundred sixty-six thousand, four hundred".