6778417464 has 192 divisors, whose sum is σ = 23206223040. Its totient is φ = 1739335680.

The previous prime is 6778417453. The next prime is 6778417483. The reversal of 6778417464 is 4647148776.

It is a super-4 number, since 4×6778417464⁴ (a number of 40 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6778417464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228444 + ... + 256404.

It is an arithmetic number, because the mean of its divisors is an integer number (120865745).

Almost surely, 2^6778417464 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 6778417464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11603111520).

6778417464 is an abundant number, since it is smaller than the sum of its proper divisors (16427805576).

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

6778417464 is a wasteful number, since it uses less digits than its factorization.

6778417464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28030 (or 28023 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 6778417464 is about 82331.1451639050. The cubic root of 6778417464 is about 1892.5299921548.

The spelling of 6778417464 in words is "six billion, seven hundred seventy-eight million, four hundred seventeen thousand, four hundred sixty-four".