6411344016 has 320 divisors, whose sum is σ = 21408915456. Its totient is φ = 1604966400.

The previous prime is 6411343999. The next prime is 6411344029. The reversal of 6411344016 is 6104431146.

It is a super-2 number, since 2×6411344016² = 82210664182998016512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23657961 + ... + 23658231.

Almost surely, 2^6411344016 is an apocalyptic number.

6411344016 is a gapful number since it is divisible by the number (66) 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 6411344016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10704457728).

6411344016 is an abundant number, since it is smaller than the sum of its proper divisors (14997571440).

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

6411344016 is a wasteful number, since it uses less digits than its factorization.

6411344016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6411344016 is about 80070.8687101620. The cubic root of 6411344016 is about 1857.7318496671.

The spelling of 6411344016 in words is "six billion, four hundred eleven million, three hundred forty-four thousand, sixteen".