64646555564646 has 96 divisors (see below), whose sum is σ = 154383218589600. Its totient is φ = 19387028643840.

The previous prime is 64646555564609. The next prime is 64646555564729.

64646555564646 is a `hidden beast` number, since 6 + 4 + 6 + 4 + 6 + 5 + 5 + 556 + 4 + 64 + 6 = 666.

64646555564646 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513294210 + ... + 513420138.

It is an arithmetic number, because the mean of its divisors is an integer number (1608158526975).

Almost surely, 2^{64646555564646} is an apocalyptic number.

64646555564646 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 64646555564646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77191609294800).

64646555564646 is an abundant number, since it is smaller than the sum of its proper divisors (89736663024954).

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

64646555564646 is a wasteful number, since it uses less digits than its factorization.

64646555564646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152774 (or 152771 counting only the distinct ones).

The product of its digits is 7464960000, while the sum is 72.

The spelling of 64646555564646 in words is "sixty-four trillion, six hundred forty-six billion, five hundred fifty-five million, five hundred sixty-four thousand, six hundred forty-six".