6489180498528 has 1728 divisors, whose sum is σ = 25438097018880. Its totient is φ = 1612868060160.

The previous prime is 6489180498517. The next prime is 6489180498583. The reversal of 6489180498528 is 8258940819846.

6489180498528 is a `hidden beast` number, since 6 + 4 + 8 + 9 + 1 + 8 + 0 + 4 + 98 + 528 = 666.

It is a super-2 number, since 2×6489180498528² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33974766913 + ... + 33974767103.

It is an arithmetic number, because the mean of its divisors is an integer number (14721120960).

Almost surely, 2^{6489180498528} 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 6489180498528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12719048509440).

6489180498528 is an abundant number, since it is smaller than the sum of its proper divisors (18948916520352).

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

6489180498528 is a wasteful number, since it uses less digits than its factorization.

6489180498528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 6489180498528 in words is "six trillion, four hundred eighty-nine billion, one hundred eighty million, four hundred ninety-eight thousand, five hundred twenty-eight".