6486467040000 has 1620 divisors, whose sum is σ = 25072869725904. Its totient is φ = 1672897536000.

The previous prime is 6486467039993. The next prime is 6486467040017. The reversal of 6486467040000 is 407646846.

6486467040000 is a `hidden beast` number, since 64 + 86 + 46 + 70 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×6486467040000² (a number of 26 digits) contains 22 as substring.

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

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 179 ways as a sum of consecutive naturals, for example, 38841119917 + ... + 38841120083.

Almost surely, 2^{6486467040000} is an apocalyptic number.

6486467040000 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 6486467040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12536434862952).

6486467040000 is an abundant number, since it is smaller than the sum of its proper divisors (18586402685904).

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

6486467040000 is an frugal number, since it uses more digits than its factorization.

6486467040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 6486467040000 in words is "six trillion, four hundred eighty-six billion, four hundred sixty-seven million, forty thousand".