6501930424704 has 640 divisors, whose sum is σ = 22827257671680. Its totient is φ = 1818621020160.

The previous prime is 6501930424699. The next prime is 6501930424753. The reversal of 6501930424704 is 4074240391056.

6501930424704 is a `hidden beast` number, since 6 + 50 + 1 + 93 + 0 + 42 + 470 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6501930424704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 360268609 + ... + 360286655.

It is an arithmetic number, because the mean of its divisors is an integer number (35667590112).

Almost surely, 2^{6501930424704} is an apocalyptic number.

6501930424704 is a gapful number since it is divisible by the number (64) 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 6501930424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11413628835840).

6501930424704 is an abundant number, since it is smaller than the sum of its proper divisors (16325327246976).

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

6501930424704 is an equidigital number, since it uses as much as digits as its factorization.

6501930424704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18112 (or 18076 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6501930424704 in words is "six trillion, five hundred one billion, nine hundred thirty million, four hundred twenty-four thousand, seven hundred four".