6776469504 has 576 divisors, whose sum is σ = 24312506400. Its totient is φ = 1857945600.

The previous prime is 6776469499. The next prime is 6776469509. The reversal of 6776469504 is 4059646776.

6776469504 is a `hidden beast` number, since 6 + 7 + 76 + 4 + 69 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (6776469499) and next prime (6776469509).

It is a tau number, because it is divible by the number of its divisors (576).

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 (6776469509) 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 47 ways as a sum of consecutive naturals, for example, 111089634 + ... + 111089694.

Almost surely, 2^6776469504 is an apocalyptic number.

6776469504 is a gapful number since it is divisible by the number (64) 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 6776469504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156253200).

6776469504 is an abundant number, since it is smaller than the sum of its proper divisors (17536036896).

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

6776469504 is a wasteful number, since it uses less digits than its factorization.

6776469504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The square root of 6776469504 is about 82319.3142828583. The cubic root of 6776469504 is about 1892.3486850407.

The spelling of 6776469504 in words is "six billion, seven hundred seventy-six million, four hundred sixty-nine thousand, five hundred four".