64930385584656 has 200 divisors, whose sum is σ = 194422165839000. Its totient is φ = 20895572920320.

The previous prime is 64930385584643. The next prime is 64930385584663. The reversal of 64930385584656 is 65648558303946.

64930385584656 is a `hidden beast` number, since 6 + 4 + 9 + 3 + 0 + 3 + 8 + 558 + 4 + 65 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5053432064256 + 59876953520400 = 2247984^2 + 7738020^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 569302996 + ... + 569417036.

It is an arithmetic number, because the mean of its divisors is an integer number (972110829195).

Almost surely, 2^{64930385584656} 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 64930385584656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97211082919500).

64930385584656 is an abundant number, since it is smaller than the sum of its proper divisors (129491780254344).

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

64930385584656 is a wasteful number, since it uses less digits than its factorization.

64930385584656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129239 (or 129224 counting only the distinct ones).

The product of its (nonzero) digits is 2239488000, while the sum is 72.

The spelling of 64930385584656 in words is "sixty-four trillion, nine hundred thirty billion, three hundred eighty-five million, five hundred eighty-four thousand, six hundred fifty-six".