6436580880 has 80 divisors (see below), whose sum is σ = 20056930560. Its totient is φ = 1707515904.

The previous prime is 6436580879. The next prime is 6436580881. The reversal of 6436580880 is 880856346.

It is an interprime number because it is at equal distance from previous prime (6436580879) and next prime (6436580881).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6436580881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23160 + ... + 115799.

It is an arithmetic number, because the mean of its divisors is an integer number (250711632).

Almost surely, 2^6436580880 is an apocalyptic number.

6436580880 is a gapful number since it is divisible by the number (60) 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 6436580880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10028465280).

6436580880 is an abundant number, since it is smaller than the sum of its proper divisors (13620349680).

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

6436580880 is a wasteful number, since it uses less digits than its factorization.

6436580880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139168 (or 139162 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 6436580880 is about 80228.3047309365. The cubic root of 6436580880 is about 1860.1661777762.

The spelling of 6436580880 in words is "six billion, four hundred thirty-six million, five hundred eighty thousand, eight hundred eighty".