6475723200 has 420 divisors, whose sum is σ = 24638218440. Its totient is φ = 1666344960.

The previous prime is 6475723187. The next prime is 6475723253. The reversal of 6475723200 is 23275746.

It is a happy number.

6475723200 is a `hidden beast` number, since 64 + 7 + 572 + 3 + 20 + 0 = 666.

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 59 ways as a sum of consecutive naturals, for example, 3757539 + ... + 3759261.

Almost surely, 2^6475723200 is an apocalyptic number.

6475723200 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 6475723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319109220).

6475723200 is an abundant number, since it is smaller than the sum of its proper divisors (18162495240).

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

6475723200 is a wasteful number, since it uses less digits than its factorization.

6475723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 6475723200 is about 80471.8783178322. The cubic root of 6475723200 is about 1863.9292586144.

Adding to 6475723200 its reverse (23275746), we get a palindrome (6498998946).

The spelling of 6475723200 in words is "six billion, four hundred seventy-five million, seven hundred twenty-three thousand, two hundred".