6505463652480 has 768 divisors, whose sum is σ = 26179178538240. Its totient is φ = 1531710259200.

The previous prime is 6505463652463. The next prime is 6505463652487. The reversal of 6505463652480 is 842563645056.

6505463652480 is a `hidden beast` number, since 6 + 5 + 0 + 5 + 4 + 6 + 36 + 524 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6505463652487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46430530 + ... + 46570430.

It is an arithmetic number, because the mean of its divisors is an integer number (34087472055).

Almost surely, 2^{6505463652480} is an apocalyptic number.

6505463652480 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 6505463652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13089589269120).

6505463652480 is an abundant number, since it is smaller than the sum of its proper divisors (19673714885760).

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

6505463652480 is a wasteful number, since it uses less digits than its factorization.

6505463652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139971 (or 139947 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 6505463652480 in words is "six trillion, five hundred five billion, four hundred sixty-three million, six hundred fifty-two thousand, four hundred eighty".