6404611101720 has 512 divisors, whose sum is σ = 22117874688000. Its totient is φ = 1471585812480.

The previous prime is 6404611101709. The next prime is 6404611101767. The reversal of 6404611101720 is 271011164046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2088231627 + ... + 2088234693.

It is an arithmetic number, because the mean of its divisors is an integer number (43198974000).

Almost surely, 2^{6404611101720} is an apocalyptic number.

6404611101720 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 6404611101720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11058937344000).

6404611101720 is an abundant number, since it is smaller than the sum of its proper divisors (15713263586280).

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

6404611101720 is a wasteful number, since it uses less digits than its factorization.

6404611101720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 6404611101720 its reverse (271011164046), we get a palindrome (6675622265766).

The spelling of 6404611101720 in words is "six trillion, four hundred four billion, six hundred eleven million, one hundred one thousand, seven hundred twenty".