6499961600 has 216 divisors, whose sum is σ = 17713532928. Its totient is φ = 2341785600.

The previous prime is 6499961599. The next prime is 6499961627. The reversal of 6499961600 is 61699946.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8940437 + ... + 8941163.

Almost surely, 2^6499961600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6499961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856766464).

6499961600 is an abundant number, since it is smaller than the sum of its proper divisors (11213571328).

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

6499961600 is a wasteful number, since it uses less digits than its factorization.

6499961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 50.

The square root of 6499961600 is about 80622.3393359434. The cubic root of 6499961600 is about 1866.2519033135.

The spelling of 6499961600 in words is "six billion, four hundred ninety-nine million, nine hundred sixty-one thousand, six hundred".