64935053946 has 128 divisors (see below), whose sum is σ = 169621931520. Its totient is φ = 18024768000.

The previous prime is 64935053933. The next prime is 64935053947.

64935053946 is a `hidden beast` number, since 6 + 4 + 93 + 505 + 3 + 9 + 46 = 666.

64935053946 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64935053946² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 64935053892 and 64935053901.

It is not an unprimeable number, because it can be changed into a prime (64935053947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10640296 + ... + 10646396.

It is an arithmetic number, because the mean of its divisors is an integer number (1325171340).

Almost surely, 2^64935053946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64935053946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84810965760).

64935053946 is an abundant number, since it is smaller than the sum of its proper divisors (104686877574).

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

64935053946 is a wasteful number, since it uses less digits than its factorization.

64935053946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 64935053946 in words is "sixty-four billion, nine hundred thirty-five million, fifty-three thousand, nine hundred forty-six".