676224654336 has 1408 divisors, whose sum is σ = 2614710067200. Its totient is φ = 167586693120.

The previous prime is 676224654323. The next prime is 676224654349. The reversal of 676224654336 is 633456422676.

676224654336 is a `hidden beast` number, since 6 + 7 + 6 + 22 + 46 + 543 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (676224654323) and next prime (676224654349).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7598029780 + ... + 7598029868.

It is an arithmetic number, because the mean of its divisors is an integer number (1857038400).

Almost surely, 2^676224654336 is an apocalyptic number.

676224654336 is a gapful number since it is divisible by the number (66) 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 676224654336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307355033600).

676224654336 is an abundant number, since it is smaller than the sum of its proper divisors (1938485412864).

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

676224654336 is a wasteful number, since it uses less digits than its factorization.

676224654336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 238 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 54.

The spelling of 676224654336 in words is "six hundred seventy-six billion, two hundred twenty-four million, six hundred fifty-four thousand, three hundred thirty-six".