6478766112 has 384 divisors, whose sum is σ = 21946982400. Its totient is φ = 1627508736.

The previous prime is 6478766111. The next prime is 6478766153. The reversal of 6478766112 is 2116678746.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6478766111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27107689 + ... + 27107927.

It is an arithmetic number, because the mean of its divisors is an integer number (57153600).

Almost surely, 2^6478766112 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 6478766112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10973491200).

6478766112 is an abundant number, since it is smaller than the sum of its proper divisors (15468216288).

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

6478766112 is a wasteful number, since it uses less digits than its factorization.

6478766112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 6478766112 is about 80490.7827766633. The cubic root of 6478766112 is about 1864.2211634403.

The spelling of 6478766112 in words is "six billion, four hundred seventy-eight million, seven hundred sixty-six thousand, one hundred twelve".