676010146166784 has 1152 divisors, whose sum is σ = 2380472191319040. Its totient is φ = 188955456307200.

The previous prime is 676010146166783. The next prime is 676010146166837. The reversal of 676010146166784 is 487661641010676.

676010146166784 is a `hidden beast` number, since 6 + 7 + 6 + 0 + 1 + 0 + 1 + 4 + 616 + 6 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676010146166783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133151493654 + ... + 133151498730.

It is an arithmetic number, because the mean of its divisors is an integer number (2066382110520).

Almost surely, 2^{676010146166784} is an apocalyptic number.

676010146166784 is a gapful number since it is divisible by the number (64) 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 676010146166784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190236095659520).

676010146166784 is an abundant number, since it is smaller than the sum of its proper divisors (1704462045152256).

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

676010146166784 is a wasteful number, since it uses less digits than its factorization.

676010146166784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7009 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 676010146166784 in words is "six hundred seventy-six trillion, ten billion, one hundred forty-six million, one hundred sixty-six thousand, seven hundred eighty-four".