6234428175264 has 384 divisors, whose sum is σ = 18751501762560. Its totient is φ = 2014346880000.

The previous prime is 6234428175251. The next prime is 6234428175307. The reversal of 6234428175264 is 4625718244326.

It is a happy number.

6234428175264 is a `hidden beast` number, since 6 + 2 + 3 + 442 + 8 + 175 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6234428175264.

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 63 ways as a sum of consecutive naturals, for example, 1459709449 + ... + 1459713719.

It is an arithmetic number, because the mean of its divisors is an integer number (48832035840).

Almost surely, 2^{6234428175264} 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 6234428175264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9375750881280).

6234428175264 is an abundant number, since it is smaller than the sum of its proper divisors (12517073587296).

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

6234428175264 is a wasteful number, since it uses less digits than its factorization.

6234428175264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4707 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 6234428175264 in words is "six trillion, two hundred thirty-four billion, four hundred twenty-eight million, one hundred seventy-five thousand, two hundred sixty-four".