6700224960 has 1344 divisors, whose sum is σ = 30647030400. Its totient is φ = 1362493440.

The previous prime is 6700224953. The next prime is 6700224983. The reversal of 6700224960 is 694220076.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 231042226 + ... + 231042254.

It is an arithmetic number, because the mean of its divisors is an integer number (22802850).

Almost surely, 2^6700224960 is an apocalyptic number.

6700224960 is a gapful number since it is divisible by the number (60) 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 6700224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15323515200).

6700224960 is an abundant number, since it is smaller than the sum of its proper divisors (23946805440).

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

6700224960 is a wasteful number, since it uses less digits than its factorization.

6700224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6700224960 is about 81854.9018691001. The cubic root of 6700224960 is about 1885.2247300589.

The spelling of 6700224960 in words is "six billion, seven hundred million, two hundred twenty-four thousand, nine hundred sixty".