706679264200 has 768 divisors, whose sum is σ = 2177860608000. Its totient is φ = 211488076800.

The previous prime is 706679264197. The next prime is 706679264227. The reversal of 706679264200 is 2462976607.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2686993269 + ... + 2686993531.

It is an arithmetic number, because the mean of its divisors is an integer number (2835756000).

Almost surely, 2^706679264200 is an apocalyptic number.

706679264200 is a gapful number since it is divisible by the number (70) 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 706679264200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088930304000).

706679264200 is an abundant number, since it is smaller than the sum of its proper divisors (1471181343800).

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

706679264200 is a wasteful number, since it uses less digits than its factorization.

706679264200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 706679264200 in words is "seven hundred six billion, six hundred seventy-nine million, two hundred sixty-four thousand, two hundred".