6475123200 has 960 divisors, whose sum is σ = 28130699520. Its totient is φ = 1274019840.

The previous prime is 6475123199. The next prime is 6475123271. The reversal of 6475123200 is 23215746.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59404746 + ... + 59404854.

It is an arithmetic number, because the mean of its divisors is an integer number (29302812).

Almost surely, 2^6475123200 is an apocalyptic number.

6475123200 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 6475123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065349760).

6475123200 is an abundant number, since it is smaller than the sum of its proper divisors (21655576320).

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

6475123200 is a wasteful number, since it uses less digits than its factorization.

6475123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 6475123200 is about 80468.1502210657. The cubic root of 6475123200 is about 1863.8716901616.

Adding to 6475123200 its reverse (23215746), we get a palindrome (6498338946).

The spelling of 6475123200 in words is "six billion, four hundred seventy-five million, one hundred twenty-three thousand, two hundred".