6284290504464 has 240 divisors, whose sum is σ = 20334131925120. Its totient is φ = 1774636646400.

The previous prime is 6284290504463. The next prime is 6284290504469. The reversal of 6284290504464 is 4644050924826.

6284290504464 is a `hidden beast` number, since 6 + 2 + 8 + 4 + 2 + 90 + 504 + 46 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6284290504464.

It is not an unprimeable number, because it can be changed into a prime (6284290504463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58689727 + ... + 58796705.

It is an arithmetic number, because the mean of its divisors is an integer number (84725549688).

Almost surely, 2^{6284290504464} 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 6284290504464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10167065962560).

6284290504464 is an abundant number, since it is smaller than the sum of its proper divisors (14049841420656).

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

6284290504464 is a wasteful number, since it uses less digits than its factorization.

6284290504464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107678 (or 107669 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 6284290504464 in words is "six trillion, two hundred eighty-four billion, two hundred ninety million, five hundred four thousand, four hundred sixty-four".