6488722800 has 180 divisors, whose sum is σ = 25734580560. Its totient is φ = 1483130880.

The previous prime is 6488722781. The next prime is 6488722811. The reversal of 6488722800 is 82278846.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103545 + ... + 153944.

It is an arithmetic number, because the mean of its divisors is an integer number (142969892).

Almost surely, 2^6488722800 is an apocalyptic number.

6488722800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6488722800 is an abundant number, since it is smaller than the sum of its proper divisors (19245857760).

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

6488722800 is a wasteful number, since it uses less digits than its factorization.

6488722800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257520 (or 257506 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 6488722800 is about 80552.6088962983. The cubic root of 6488722800 is about 1865.1756645362.

The spelling of 6488722800 in words is "six billion, four hundred eighty-eight million, seven hundred twenty-two thousand, eight hundred".