6700003960 has 256 divisors, whose sum is σ = 18533007360. Its totient is φ = 2153226240.

The previous prime is 6700003901. The next prime is 6700003967. The reversal of 6700003960 is 693000076.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6700003967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6302389 + ... + 6303451.

It is an arithmetic number, because the mean of its divisors is an integer number (72394560).

Almost surely, 2^6700003960 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 6700003960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9266503680).

6700003960 is an abundant number, since it is smaller than the sum of its proper divisors (11833003400).

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

6700003960 is a wasteful number, since it uses less digits than its factorization.

6700003960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 6700003960 is about 81853.5519082709. The cubic root of 6700003960 is about 1885.2040024342.

The spelling of 6700003960 in words is "six billion, seven hundred million, three thousand, nine hundred sixty".