65731705416 has 320 divisors, whose sum is σ = 205540473600. Its totient is φ = 19496236032.

The previous prime is 65731705339. The next prime is 65731705447. The reversal of 65731705416 is 61450713756.

65731705416 is a `hidden beast` number, since 6 + 5 + 7 + 31 + 70 + 541 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28615180 + ... + 28617476.

It is an arithmetic number, because the mean of its divisors is an integer number (642313980).

Almost surely, 2^65731705416 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 65731705416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102770236800).

65731705416 is an abundant number, since it is smaller than the sum of its proper divisors (139808768184).

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

65731705416 is a wasteful number, since it uses less digits than its factorization.

65731705416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 65731705416 in words is "sixty-five billion, seven hundred thirty-one million, seven hundred five thousand, four hundred sixteen".