4350827283264 has 672 divisors, whose sum is σ = 16280036121600. Its totient is φ = 1130002030080.

The previous prime is 4350827283227. The next prime is 4350827283311. The reversal of 4350827283264 is 4623827280534.

4350827283264 is a `hidden beast` number, since 4 + 3 + 508 + 2 + 72 + 8 + 3 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 4350827283264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319460647 + ... + 319474265.

Almost surely, 2^{4350827283264} is an apocalyptic number.

4350827283264 is a gapful number since it is divisible by the number (44) 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 4350827283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8140018060800).

4350827283264 is an abundant number, since it is smaller than the sum of its proper divisors (11929208838336).

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

4350827283264 is an equidigital number, since it uses as much as digits as its factorization.

4350827283264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13686 (or 13642 counting only the distinct ones).

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

The spelling of 4350827283264 in words is "four trillion, three hundred fifty billion, eight hundred twenty-seven million, two hundred eighty-three thousand, two hundred sixty-four".