6485523780960 has 1536 divisors, whose sum is σ = 28444543303680. Its totient is φ = 1346447867904.

The previous prime is 6485523780959. The next prime is 6485523780961. The reversal of 6485523780960 is 690873255846.

It is a happy number.

6485523780960 is a `hidden beast` number, since 6 + 4 + 8 + 552 + 3 + 78 + 0 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6485523780959) and next prime (6485523780961).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6485523780961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1763806642 + ... + 1763810318.

It is an arithmetic number, because the mean of its divisors is an integer number (18518582880).

Almost surely, 2^{6485523780960} is an apocalyptic number.

6485523780960 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 6485523780960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14222271651840).

6485523780960 is an abundant number, since it is smaller than the sum of its proper divisors (21959019522720).

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

6485523780960 is a wasteful number, since it uses less digits than its factorization.

6485523780960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 6485523780960 in words is "six trillion, four hundred eighty-five billion, five hundred twenty-three million, seven hundred eighty thousand, nine hundred sixty".