6778631520 has 288 divisors, whose sum is σ = 24583759200. Its totient is φ = 1696038912.

The previous prime is 6778631441. The next prime is 6778631533. The reversal of 6778631520 is 251368776.

6778631520 is a `hidden beast` number, since 6 + 7 + 7 + 8 + 631 + 5 + 2 + 0 = 666.

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 (45).

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, 2981104 + ... + 2983376.

It is an arithmetic number, because the mean of its divisors is an integer number (85360275).

Almost surely, 2^6778631520 is an apocalyptic number.

6778631520 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 6778631520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12291879600).

6778631520 is an abundant number, since it is smaller than the sum of its proper divisors (17805127680).

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

6778631520 is a wasteful number, since it uses less digits than its factorization.

6778631520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 6778631520 is about 82332.4451234141. The cubic root of 6778631520 is about 1892.5499133796.

The spelling of 6778631520 in words is "six billion, seven hundred seventy-eight million, six hundred thirty-one thousand, five hundred twenty".