6401518080 has 160 divisors (see below), whose sum is σ = 20852308224. Its totient is φ = 1674756096.

The previous prime is 6401518069. The next prime is 6401518127. The reversal of 6401518080 is 808151046.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399177 + ... + 414903.

Almost surely, 2^6401518080 is an apocalyptic number.

6401518080 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 6401518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10426154112).

6401518080 is an abundant number, since it is smaller than the sum of its proper divisors (14450790144).

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

6401518080 is a wasteful number, since it uses less digits than its factorization.

6401518080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15806 (or 15790 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 6401518080 is about 80009.4874374283. The cubic root of 6401518080 is about 1856.7823198227.

The spelling of 6401518080 in words is "six billion, four hundred one million, five hundred eighteen thousand, eighty".