65964666646956 has 192 divisors, whose sum is σ = 194169299143680. Its totient is φ = 16931466240000.

The previous prime is 65964666646867. The next prime is 65964666646961.

65964666646956 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (84).

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, 47943460 + ... + 49300148.

It is an arithmetic number, because the mean of its divisors is an integer number (1011298433040).

Almost surely, 2^{65964666646956} is an apocalyptic number.

65964666646956 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 65964666646956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97084649571840).

65964666646956 is an abundant number, since it is smaller than the sum of its proper divisors (128204632496724).

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

65964666646956 is a wasteful number, since it uses less digits than its factorization.

65964666646956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357336 (or 1357334 counting only the distinct ones).

The product of its digits is 54419558400, while the sum is 84.

The spelling of 65964666646956 in words is "sixty-five trillion, nine hundred sixty-four billion, six hundred sixty-six million, six hundred forty-six thousand, nine hundred fifty-six".