6776431488 has 320 divisors, whose sum is σ = 21294393120. Its totient is φ = 2134978560.

The previous prime is 6776431483. The next prime is 6776431507. The reversal of 6776431488 is 8841346776.

6776431488 is a `hidden beast` number, since 6 + 77 + 64 + 31 + 488 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6776431483) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 37438758 + ... + 37438938.

Almost surely, 2^6776431488 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 6776431488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10647196560).

6776431488 is an abundant number, since it is smaller than the sum of its proper divisors (14517961632).

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

6776431488 is a wasteful number, since it uses less digits than its factorization.

6776431488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 6776431488 is about 82319.0833768210. The cubic root of 6776431488 is about 1892.3451463415.

The spelling of 6776431488 in words is "six billion, seven hundred seventy-six million, four hundred thirty-one thousand, four hundred eighty-eight".