6497026200 has 960 divisors, whose sum is σ = 28001064960. Its totient is φ = 1364014080.

The previous prime is 6497026169. The next prime is 6497026201. The reversal of 6497026200 is 26207946.

It is a happy number.

6497026200 is a `hidden beast` number, since 649 + 7 + 0 + 2 + 6 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×6497026200² = 84422698886972880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6497026201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 122585374 + ... + 122585426.

It is an arithmetic number, because the mean of its divisors is an integer number (29167776).

Almost surely, 2^6497026200 is an apocalyptic number.

6497026200 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 6497026200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14000532480).

6497026200 is an abundant number, since it is smaller than the sum of its proper divisors (21504038760).

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

6497026200 is a wasteful number, since it uses less digits than its factorization.

6497026200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6497026200 is about 80604.1326483946. The cubic root of 6497026200 is about 1865.9709262330.

The spelling of 6497026200 in words is "six billion, four hundred ninety-seven million, twenty-six thousand, two hundred".