6411278016 has 336 divisors, whose sum is σ = 21744541728. Its totient is φ = 1780531200.

The previous prime is 6411277981. The next prime is 6411278021. The reversal of 6411278016 is 6108721146.

It is a happy number.

6411278016 is a `hidden beast` number, since 641 + 1 + 2 + 7 + 8 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×6411278016² = 82208971596889792512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22815796 + ... + 22816076.

It is an arithmetic number, because the mean of its divisors is an integer number (64715898).

Almost surely, 2^6411278016 is an apocalyptic number.

6411278016 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 6411278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10872270864).

6411278016 is an abundant number, since it is smaller than the sum of its proper divisors (15333263712).

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

6411278016 is a wasteful number, since it uses less digits than its factorization.

6411278016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 6411278016 is about 80070.4565741947. The cubic root of 6411278016 is about 1857.7254749911.

The spelling of 6411278016 in words is "six billion, four hundred eleven million, two hundred seventy-eight thousand, sixteen".