6225672960 has 720 divisors, whose sum is σ = 24930259200. Its totient is φ = 1473085440.

The previous prime is 6225672953. The next prime is 6225672961. The reversal of 6225672960 is 692765226.

6225672960 is a `hidden beast` number, since 6 + 2 + 2 + 567 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (6225672961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41782966 + ... + 41783114.

It is an arithmetic number, because the mean of its divisors is an integer number (34625360).

Almost surely, 2^6225672960 is an apocalyptic number.

6225672960 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 6225672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12465129600).

6225672960 is an abundant number, since it is smaller than the sum of its proper divisors (18704586240).

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

6225672960 is a wasteful number, since it uses less digits than its factorization.

6225672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6225672960 is about 78902.9337857598. The cubic root of 6225672960 is about 1839.6227329858.

The spelling of 6225672960 in words is "six billion, two hundred twenty-five million, six hundred seventy-two thousand, nine hundred sixty".