65406073656 has 128 divisors (see below), whose sum is σ = 206154201600. Its totient is φ = 16797665280.

The previous prime is 65406073619. The next prime is 65406073673. The reversal of 65406073656 is 65637060456.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 34365 + ... + 363308.

It is an arithmetic number, because the mean of its divisors is an integer number (1610579700).

Almost surely, 2^65406073656 is an apocalyptic number.

65406073656 is a gapful number since it is divisible by the number (66) 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 65406073656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103077100800).

65406073656 is an abundant number, since it is smaller than the sum of its proper divisors (140748127944).

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

65406073656 is a wasteful number, since it uses less digits than its factorization.

65406073656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397789 (or 397785 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 65406073656 in words is "sixty-five billion, four hundred six million, seventy-three thousand, six hundred fifty-six".