65984308416 has 336 divisors, whose sum is σ = 209899898208. Its totient is φ = 19689062400.

The previous prime is 65984308409. The next prime is 65984308477. The reversal of 65984308416 is 61480348956.

65984308416 is a `hidden beast` number, since 6 + 598 + 4 + 3 + 0 + 8 + 41 + 6 = 666.

65984308416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 60480031 + ... + 60481121.

It is an arithmetic number, because the mean of its divisors is an integer number (624702078).

Almost surely, 2^65984308416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65984308416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104949949104).

65984308416 is an abundant number, since it is smaller than the sum of its proper divisors (143915589792).

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

65984308416 is a wasteful number, since it uses less digits than its factorization.

65984308416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 65984308416 in words is "sixty-five billion, nine hundred eighty-four million, three hundred eight thousand, four hundred sixteen".