4305879864 has 768 divisors, whose sum is σ = 16087680000. Its totient is φ = 1053803520.

The previous prime is 4305879811. The next prime is 4305879869. The reversal of 4305879864 is 4689785034.

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 4305879864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4305879869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148478602 + ... + 148478630.

It is an arithmetic number, because the mean of its divisors is an integer number (20947500).

Almost surely, 2^4305879864 is an apocalyptic number.

4305879864 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 4305879864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043840000).

4305879864 is an abundant number, since it is smaller than the sum of its proper divisors (11781800136).

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

4305879864 is a wasteful number, since it uses less digits than its factorization.

4305879864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 4305879864 is about 65619.2034697161. The cubic root of 4305879864 is about 1626.8741912145.

The spelling of 4305879864 in words is "four billion, three hundred five million, eight hundred seventy-nine thousand, eight hundred sixty-four".