6958000224 has 288 divisors, whose sum is σ = 23616714240. Its totient is φ = 1952287488.

The previous prime is 6958000207. The next prime is 6958000229. The reversal of 6958000224 is 4220008596.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6958000229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41664589 + ... + 41664755.

It is an arithmetic number, because the mean of its divisors is an integer number (82002480).

Almost surely, 2^6958000224 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 6958000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808357120).

6958000224 is an abundant number, since it is smaller than the sum of its proper divisors (16658714016).

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

6958000224 is a wasteful number, since it uses less digits than its factorization.

6958000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6958000224 is about 83414.6283573811. The cubic root of 6958000224 is about 1909.0976635605.

The spelling of 6958000224 in words is "six billion, nine hundred fifty-eight million, two hundred twenty-four", and thus it is an aban number.