6497010000 has 500 divisors, whose sum is σ = 25346302212. Its totient is φ = 1596672000.

The previous prime is 6497009963. The next prime is 6497010017. The reversal of 6497010000 is 107946.

6497010000 is a `hidden beast` number, since 649 + 7 + 0 + 10 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 6497004816 + 5184 = 80604^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (500).

It is a super-2 number, since 2×6497010000² = 84422277880200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 10529692 + ... + 10530308.

Almost surely, 2^6497010000 is an apocalyptic number.

6497010000 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 6497010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12673151106).

6497010000 is an abundant number, since it is smaller than the sum of its proper divisors (18849292212).

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

6497010000 is a wasteful number, since it uses less digits than its factorization.

6497010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 6497010000 is about 80604.0321572066. The cubic root of 6497010000 is about 1865.9693753310.

Adding to 6497010000 its reverse (107946), we get a palindrome (6497117946).

The spelling of 6497010000 in words is "six billion, four hundred ninety-seven million, ten thousand".