6503531481720 has 1728 divisors, whose sum is σ = 28399674008160. Its totient is φ = 1326695086080.

The previous prime is 6503531481691. The next prime is 6503531481737. The reversal of 6503531481720 is 271841353056.

It is a happy number.

6503531481720 is a `hidden beast` number, since 6 + 5 + 0 + 3 + 531 + 48 + 1 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5950165494 + ... + 5950166586.

Almost surely, 2^{6503531481720} is an apocalyptic number.

6503531481720 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 6503531481720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14199837004080).

6503531481720 is an abundant number, since it is smaller than the sum of its proper divisors (21896142526440).

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

6503531481720 is a wasteful number, since it uses less digits than its factorization.

6503531481720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 6503531481720 in words is "six trillion, five hundred three billion, five hundred thirty-one million, four hundred eighty-one thousand, seven hundred twenty".