6706120400 has 360 divisors, whose sum is σ = 19561962240. Its totient is φ = 2201472000.

The previous prime is 6706120397. The next prime is 6706120453. The reversal of 6706120400 is 40216076.

It is a self number, because there is not a number n which added to its sum of digits gives 6706120400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84887561 + ... + 84887639.

It is an arithmetic number, because the mean of its divisors is an integer number (54338784).

Almost surely, 2^6706120400 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 6706120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9780981120).

6706120400 is an abundant number, since it is smaller than the sum of its proper divisors (12855841840).

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

6706120400 is a wasteful number, since it uses less digits than its factorization.

6706120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 6706120400 is about 81890.9054779589. The cubic root of 6706120400 is about 1885.7774961320. Note that the first 3 decimals are identical.

Adding to 6706120400 its reverse (40216076), we get a palindrome (6746336476).

The spelling of 6706120400 in words is "six billion, seven hundred six million, one hundred twenty thousand, four hundred".