676028851200 has 660 divisors, whose sum is σ = 2529814582372. Its totient is φ = 178362777600.

The previous prime is 676028851171. The next prime is 676028851217. The reversal of 676028851200 is 2158820676.

676028851200 is a `hidden beast` number, since 67 + 60 + 288 + 51 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 897122304 + 675131728896 = 29952^2 + 821664^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 201137520 + ... + 201140880.

Almost surely, 2^676028851200 is an apocalyptic number.

676028851200 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 676028851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264907291186).

676028851200 is an abundant number, since it is smaller than the sum of its proper divisors (1853785731172).

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

676028851200 is a wasteful number, since it uses less digits than its factorization.

676028851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 676028851200 in words is "six hundred seventy-six billion, twenty-eight million, eight hundred fifty-one thousand, two hundred".