706732072200 has 2304 divisors, whose sum is σ = 3249049190400. Its totient is φ = 133370265600.

The previous prime is 706732072129. The next prime is 706732072213. The reversal of 706732072200 is 2270237607.

706732072200 is a `hidden beast` number, since 7 + 0 + 67 + 320 + 72 + 200 = 666.

It is a super-2 number, since 2×706732072200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7940809756 + ... + 7940809844.

It is an arithmetic number, because the mean of its divisors is an integer number (1410177600).

Almost surely, 2^706732072200 is an apocalyptic number.

706732072200 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 706732072200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624524595200).

706732072200 is an abundant number, since it is smaller than the sum of its proper divisors (2542317118200).

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

706732072200 is a wasteful number, since it uses less digits than its factorization.

706732072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 706732072200 in words is "seven hundred six billion, seven hundred thirty-two million, seventy-two thousand, two hundred".