6778533420 has 144 divisors (see below), whose sum is σ = 21971869920. Its totient is φ = 1685587968.

The previous prime is 6778533413. The next prime is 6778533431. The reversal of 6778533420 is 243358776.

6778533420 is a `hidden beast` number, since 6 + 7 + 78 + 533 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 323379 + ... + 343701.

It is an arithmetic number, because the mean of its divisors is an integer number (152582430).

Almost surely, 2^6778533420 is an apocalyptic number.

6778533420 is a gapful number since it is divisible by the number (60) 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 6778533420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10985934960).

6778533420 is an abundant number, since it is smaller than the sum of its proper divisors (15193336500).

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

6778533420 is a wasteful number, since it uses less digits than its factorization.

6778533420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20464 (or 20459 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 6778533420 is about 82331.8493658438. The cubic root of 6778533420 is about 1892.5407837079.

The spelling of 6778533420 in words is "six billion, seven hundred seventy-eight million, five hundred thirty-three thousand, four hundred twenty".