6777639360 has 336 divisors, whose sum is σ = 24750101376. Its totient is φ = 1764467712.

The previous prime is 6777639347. The next prime is 6777639367. The reversal of 6777639360 is 639367776.

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

It is a junction number, because it is equal to n+sod(n) for n = 6777639297 and 6777639306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6777639367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3342667 + ... + 3344693.

It is an arithmetic number, because the mean of its divisors is an integer number (73661016).

Almost surely, 2^6777639360 is an apocalyptic number.

6777639360 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 6777639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12375050688).

6777639360 is an abundant number, since it is smaller than the sum of its proper divisors (17972462016).

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

6777639360 is a wasteful number, since it uses less digits than its factorization.

6777639360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 6001128, while the sum is 54.

The square root of 6777639360 is about 82326.4195747635. The cubic root of 6777639360 is about 1892.4575739974.

The spelling of 6777639360 in words is "six billion, seven hundred seventy-seven million, six hundred thirty-nine thousand, three hundred sixty".