6704977104 has 240 divisors, whose sum is σ = 22257464320. Its totient is φ = 1843845120.

The previous prime is 6704977099. The next prime is 6704977109. The reversal of 6704977104 is 4017794076.

It is an interprime number because it is at equal distance from previous prime (6704977099) and next prime (6704977109).

It is a self number, because there is not a number n which added to its sum of digits gives 6704977104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6704977109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7155324 + ... + 7156260.

Almost surely, 2^6704977104 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 6704977104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11128732160).

6704977104 is an abundant number, since it is smaller than the sum of its proper divisors (15552487216).

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

6704977104 is a wasteful number, since it uses less digits than its factorization.

6704977104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 6704977104 is about 81883.9245761951. The cubic root of 6704977104 is about 1885.6703241621.

The spelling of 6704977104 in words is "six billion, seven hundred four million, nine hundred seventy-seven thousand, one hundred four".