65790256896 has 648 divisors, whose sum is σ = 248092135200. Its totient is φ = 16588357632.

The previous prime is 65790256879. The next prime is 65790256897. The reversal of 65790256896 is 69865209756.

65790256896 is a `hidden beast` number, since 6 + 579 + 0 + 2 + 56 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65790256897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33754930 + ... + 33756878.

Almost surely, 2^65790256896 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 65790256896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124046067600).

65790256896 is an abundant number, since it is smaller than the sum of its proper divisors (182301878304).

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

65790256896 is a wasteful number, since it uses less digits than its factorization.

65790256896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 65790256896 in words is "sixty-five billion, seven hundred ninety million, two hundred fifty-six thousand, eight hundred ninety-six".