64882804654080 has 2304 divisors, whose sum is σ = 277346455142400. Its totient is φ = 14254753185792.

The previous prime is 64882804654037. The next prime is 64882804654117. The reversal of 64882804654080 is 8045640828846.

64882804654080 is a `hidden beast` number, since 6 + 4 + 8 + 8 + 2 + 8 + 0 + 4 + 6 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 64882804653999 and 64882804654017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 290954280849 + ... + 290954281071.

It is an arithmetic number, because the mean of its divisors is an integer number (120376065600).

Almost surely, 2^{64882804654080} is an apocalyptic number.

64882804654080 is a gapful number since it is divisible by the number (60) 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 64882804654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138673227571200).

64882804654080 is an abundant number, since it is smaller than the sum of its proper divisors (212463650488320).

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

64882804654080 is an frugal number, since it uses more digits than its factorization.

64882804654080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 63.

The spelling of 64882804654080 in words is "sixty-four trillion, eight hundred eighty-two billion, eight hundred four million, six hundred fifty-four thousand, eighty".