6510466560000 has 1040 divisors, whose sum is σ = 23765746151840. Its totient is φ = 1574830080000.

The previous prime is 6510466559957. The next prime is 6510466560011. The reversal of 6510466560000 is 656640156.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6090239466 + ... + 6090240534.

Almost surely, 2^{6510466560000} is an apocalyptic number.

6510466560000 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 6510466560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11882873075920).

6510466560000 is an abundant number, since it is smaller than the sum of its proper divisors (17255279591840).

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

6510466560000 is a wasteful number, since it uses less digits than its factorization.

6510466560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 6510466560000 in words is "six trillion, five hundred ten billion, four hundred sixty-six million, five hundred sixty thousand".