6490605600 has 144 divisors (see below), whose sum is σ = 23474435040. Its totient is φ = 1730822400.

The previous prime is 6490605587. The next prime is 6490605607. The reversal of 6490605600 is 65060946.

It is a happy number.

6490605600 is a `hidden beast` number, since 6 + 4 + 90 + 6 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6490605600² = 84255922109502720000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6490605607) by changing a digit.

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, 128646 + ... + 171845.

It is an arithmetic number, because the mean of its divisors is an integer number (163016910).

Almost surely, 2^6490605600 is an apocalyptic number.

6490605600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6490605600 is an abundant number, since it is smaller than the sum of its proper divisors (16983829440).

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

6490605600 is a wasteful number, since it uses less digits than its factorization.

6490605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300520 (or 300501 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6490605600 is about 80564.2948209689. The cubic root of 6490605600 is about 1865.3560499649.

The spelling of 6490605600 in words is "six billion, four hundred ninety million, six hundred five thousand, six hundred".