6469747200 has 720 divisors, whose sum is σ = 27071231616. Its totient is φ = 1445068800.

The previous prime is 6469747187. The next prime is 6469747201. The reversal of 6469747200 is 27479646.

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 (6469747201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57254344 + ... + 57254456.

Almost surely, 2^6469747200 is an apocalyptic number.

6469747200 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 6469747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13535615808).

6469747200 is an abundant number, since it is smaller than the sum of its proper divisors (20601484416).

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

6469747200 is a wasteful number, since it uses less digits than its factorization.

6469747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6469747200 is about 80434.7387637953. The cubic root of 6469747200 is about 1863.3557180699.

The spelling of 6469747200 in words is "six billion, four hundred sixty-nine million, seven hundred forty-seven thousand, two hundred".