65944848777984 has 576 divisors, whose sum is σ = 215267637312000. Its totient is φ = 19746033500160.

The previous prime is 65944848777967. The next prime is 65944848778013. The reversal of 65944848777984 is 48977784844956.

65944848777984 is a `hidden beast` number, since 6 + 5 + 9 + 4 + 48 + 487 + 7 + 7 + 9 + 84 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 65944848777894 and 65944848777903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19075742784 + ... + 19075746240.

It is an arithmetic number, because the mean of its divisors is an integer number (373728537000).

Almost surely, 2^{65944848777984} is an apocalyptic number.

65944848777984 is a gapful number since it is divisible by the number (64) 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 65944848777984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107633818656000).

65944848777984 is an abundant number, since it is smaller than the sum of its proper divisors (149322788534016).

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

65944848777984 is a wasteful number, since it uses less digits than its factorization.

65944848777984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6401 (or 6381 counting only the distinct ones).

The product of its digits is 109247201280, while the sum is 90.

The spelling of 65944848777984 in words is "sixty-five trillion, nine hundred forty-four billion, eight hundred forty-eight million, seven hundred seventy-seven thousand, nine hundred eighty-four".