706098124800 has 1728 divisors, whose sum is σ = 2883377952000. Its totient is φ = 170559406080.

The previous prime is 706098124799. The next prime is 706098124801. The reversal of 706098124800 is 8421890607.

706098124800 is a `hidden beast` number, since 70 + 6 + 0 + 98 + 12 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (706098124799) and next prime (706098124801).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706098124801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6855321549 + ... + 6855321651.

It is an arithmetic number, because the mean of its divisors is an integer number (1668621500).

Almost surely, 2^706098124800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706098124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441688976000).

706098124800 is an abundant number, since it is smaller than the sum of its proper divisors (2177279827200).

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

706098124800 is a wasteful number, since it uses less digits than its factorization.

706098124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 706098124800 in words is "seven hundred six billion, ninety-eight million, one hundred twenty-four thousand, eight hundred".