6386461680000 has 320 divisors, whose sum is σ = 21385948993200. Its totient is φ = 1687977984000.

The previous prime is 6386461679959. The next prime is 6386461680013. The reversal of 6386461680000 is 861646836.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27002256 + ... + 27237744.

Almost surely, 2^{6386461680000} is an apocalyptic number.

6386461680000 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 6386461680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10692974496600).

6386461680000 is an abundant number, since it is smaller than the sum of its proper divisors (14999487313200).

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

6386461680000 is a wasteful number, since it uses less digits than its factorization.

6386461680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235639 (or 235612 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 6386461680000 in words is "six trillion, three hundred eighty-six billion, four hundred sixty-one million, six hundred eighty thousand".