6499317968640 has 1008 divisors, whose sum is σ = 26778112675776. Its totient is φ = 1479853670400.

The previous prime is 6499317968639. The next prime is 6499317968653. The reversal of 6499317968640 is 468697139946.

6499317968640 is a `hidden beast` number, since 6 + 499 + 3 + 1 + 7 + 96 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×6499317968640³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1835445270 + ... + 1835448810.

It is an arithmetic number, because the mean of its divisors is an integer number (26565587972).

Almost surely, 2^{6499317968640} is an apocalyptic number.

6499317968640 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 6499317968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13389056337888).

6499317968640 is an abundant number, since it is smaller than the sum of its proper divisors (20278794707136).

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

6499317968640 is an equidigital number, since it uses as much as digits as its factorization.

6499317968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 6499317968640 in words is "six trillion, four hundred ninety-nine billion, three hundred seventeen million, nine hundred sixty-eight thousand, six hundred forty".