6780061728 has 216 divisors, whose sum is σ = 21927005100. Its totient is φ = 1983421440.

The previous prime is 6780061697. The next prime is 6780061763. The reversal of 6780061728 is 8271600876.

6780061728 is a `hidden beast` number, since 6 + 7 + 8 + 0 + 0 + 617 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6719408784 + 60652944 = 81972^2 + 7788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1007238 + ... + 1013946.

Almost surely, 2^6780061728 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 6780061728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10963502550).

6780061728 is an abundant number, since it is smaller than the sum of its proper divisors (15146943372).

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

6780061728 is a wasteful number, since it uses less digits than its factorization.

6780061728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6776 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 6780061728 is about 82341.1302327093. The cubic root of 6780061728 is about 1892.6830056160.

The spelling of 6780061728 in words is "six billion, seven hundred eighty million, sixty-one thousand, seven hundred twenty-eight".