6504706757120 has 640 divisors, whose sum is σ = 18876111851520. Its totient is φ = 2118057984000.

The previous prime is 6504706757083. The next prime is 6504706757167. The reversal of 6504706757120 is 217576074056.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×6504706757120² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2866771346 + ... + 2866773614.

It is an arithmetic number, because the mean of its divisors is an integer number (29493924768).

Almost surely, 2^{6504706757120} 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 6504706757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9438055925760).

6504706757120 is an abundant number, since it is smaller than the sum of its proper divisors (12371405094400).

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

6504706757120 is a wasteful number, since it uses less digits than its factorization.

6504706757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 50.

The spelling of 6504706757120 in words is "six trillion, five hundred four billion, seven hundred six million, seven hundred fifty-seven thousand, one hundred twenty".