6486147567900 has 1728 divisors, whose sum is σ = 28610085504000. Its totient is φ = 1230822604800.

The previous prime is 6486147567857. The next prime is 6486147567941. The reversal of 6486147567900 is 97657416846.

It is a happy number.

6486147567900 is a `hidden beast` number, since 6 + 4 + 8 + 61 + 4 + 7 + 567 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×6486147567900² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2359455726 + ... + 2359458474.

Almost surely, 2^{6486147567900} is an apocalyptic number.

6486147567900 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 6486147567900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14305042752000).

6486147567900 is an abundant number, since it is smaller than the sum of its proper divisors (22123937936100).

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

6486147567900 is a wasteful number, since it uses less digits than its factorization.

6486147567900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 6486147567900 in words is "six trillion, four hundred eighty-six billion, one hundred forty-seven million, five hundred sixty-seven thousand, nine hundred".