6778923264 has 288 divisors, whose sum is σ = 21922145280. Its totient is φ = 2057011200.

The previous prime is 6778923209. The next prime is 6778923269. The reversal of 6778923264 is 4623298776.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6778923264.

It is not an unprimeable number, because it can be changed into a prime (6778923269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3641694 + ... + 3643554.

It is an arithmetic number, because the mean of its divisors is an integer number (76118560).

Almost surely, 2^6778923264 is an apocalyptic number.

6778923264 is a gapful number since it is divisible by the number (64) 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 6778923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10961072640).

6778923264 is an abundant number, since it is smaller than the sum of its proper divisors (15143222016).

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

6778923264 is a wasteful number, since it uses less digits than its factorization.

6778923264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1914 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 6778923264 is about 82334.2168481610. The cubic root of 6778923264 is about 1892.5770640004.

The spelling of 6778923264 in words is "six billion, seven hundred seventy-eight million, nine hundred twenty-three thousand, two hundred sixty-four".