6418661089280 has 448 divisors, whose sum is σ = 17287394025600. Its totient is φ = 2267881144320.

The previous prime is 6418661089259. The next prime is 6418661089361. The reversal of 6418661089280 is 829801668146.

It is a super-3 number, since 3×6418661089280³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2365889204 + ... + 2365891916.

Almost surely, 2^{6418661089280} 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 6418661089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8643697012800).

6418661089280 is an abundant number, since it is smaller than the sum of its proper divisors (10868732936320).

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

6418661089280 is a wasteful number, since it uses less digits than its factorization.

6418661089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 59.

The spelling of 6418661089280 in words is "six trillion, four hundred eighteen billion, six hundred sixty-one million, eighty-nine thousand, two hundred eighty".