6486378623424 has 896 divisors, whose sum is σ = 23287851417600. Its totient is φ = 1730427494400.

The previous prime is 6486378623383. The next prime is 6486378623453. The reversal of 6486378623424 is 4243268736846.

6486378623424 is a `hidden beast` number, since 6 + 4 + 8 + 6 + 378 + 6 + 234 + 24 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2478553764 + ... + 2478556380.

It is an arithmetic number, because the mean of its divisors is an integer number (25990905600).

Almost surely, 2^{6486378623424} is an apocalyptic number.

6486378623424 is a gapful number since it is divisible by the number (64) 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 6486378623424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11643925708800).

6486378623424 is an abundant number, since it is smaller than the sum of its proper divisors (16801472794176).

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

6486378623424 is a wasteful number, since it uses less digits than its factorization.

6486378623424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2862 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 63.

The spelling of 6486378623424 in words is "six trillion, four hundred eighty-six billion, three hundred seventy-eight million, six hundred twenty-three thousand, four hundred twenty-four".