6704951040 has 288 divisors, whose sum is σ = 25047993600. Its totient is φ = 1693716480.

The previous prime is 6704951039. The next prime is 6704951087. The reversal of 6704951040 is 401594076.

6704951040 is a `hidden beast` number, since 67 + 0 + 49 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6704950986 and 6704951004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651535 + ... + 661745.

It is an arithmetic number, because the mean of its divisors is an integer number (86972200).

Almost surely, 2^6704951040 is an apocalyptic number.

6704951040 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 6704951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12523996800).

6704951040 is an abundant number, since it is smaller than the sum of its proper divisors (18343042560).

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

6704951040 is a wasteful number, since it uses less digits than its factorization.

6704951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10260 (or 10240 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6704951040 is about 81883.7654239227. The cubic root of 6704951040 is about 1885.6678807943.

The spelling of 6704951040 in words is "six billion, seven hundred four million, nine hundred fifty-one thousand, forty".