64967677676946 has 192 divisors, whose sum is σ = 163186439270400. Its totient is φ = 18492914563200.

The previous prime is 64967677676879. The next prime is 64967677676947.

64967677676946 is a `hidden beast` number, since 6 + 496 + 7 + 6 + 7 + 7 + 6 + 76 + 9 + 46 = 666.

64967677676946 is nontrivially palindromic in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (64967677676947) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94816045 + ... + 95498783.

It is an arithmetic number, because the mean of its divisors is an integer number (849929371200).

Almost surely, 2^{64967677676946} is an apocalyptic number.

64967677676946 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64967677676946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81593219635200).

64967677676946 is an abundant number, since it is smaller than the sum of its proper divisors (98218761593454).

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

64967677676946 is a wasteful number, since it uses less digits than its factorization.

64967677676946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683245 (or 683242 counting only the distinct ones).

The product of its digits is 145179288576, while the sum is 90.

The spelling of 64967677676946 in words is "sixty-four trillion, nine hundred sixty-seven billion, six hundred seventy-seven million, six hundred seventy-six thousand, nine hundred forty-six".