6409765800 has 72 divisors (see below), whose sum is σ = 21526136190. Its totient is φ = 1709270400.

The previous prime is 6409765793. The next prime is 6409765801. The reversal of 6409765800 is 85679046.

6409765800 is a `hidden beast` number, since 64 + 0 + 9 + 7 + 6 + 580 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4925513124 + 1484252676 = 70182^2 + 38526^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6409765800² = 82170195221699280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6409765801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1778691 + ... + 1782290.

Almost surely, 2^6409765800 is an apocalyptic number.

6409765800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6409765800 is an abundant number, since it is smaller than the sum of its proper divisors (15116370390).

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

6409765800 is a wasteful number, since it uses less digits than its factorization.

6409765800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561003 (or 3560991 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6409765800 is about 80061.0129838488. The cubic root of 6409765800 is about 1857.5794041099.

The spelling of 6409765800 in words is "six billion, four hundred nine million, seven hundred sixty-five thousand, eight hundred".