6404262560 has 96 divisors (see below), whose sum is σ = 15684172560. Its totient is φ = 2468257792.

The previous prime is 6404262523. The next prime is 6404262563. The reversal of 6404262560 is 652624046.

It can be written as a sum of positive squares in 8 ways, for example, as 1908291856 + 4495970704 = 43684^2 + 67052^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6404262560.

It is not an unprimeable number, because it can be changed into a prime (6404262563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2861762 + ... + 2863998.

Almost surely, 2^6404262560 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 6404262560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842086280).

6404262560 is an abundant number, since it is smaller than the sum of its proper divisors (9279910000).

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

6404262560 is a wasteful number, since it uses less digits than its factorization.

6404262560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 6404262560 is about 80026.6365655836. The cubic root of 6404262560 is about 1857.0476305300.

The spelling of 6404262560 in words is "six billion, four hundred four million, two hundred sixty-two thousand, five hundred sixty".