6700966272 has 768 divisors, whose sum is σ = 26879040000. Its totient is φ = 1595842560.

The previous prime is 6700966267. The next prime is 6700966277. The reversal of 6700966272 is 2726690076.

It is an interprime number because it is at equal distance from previous prime (6700966267) and next prime (6700966277).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6700966277) 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 95 ways as a sum of consecutive naturals, for example, 44972854 + ... + 44973002.

It is an arithmetic number, because the mean of its divisors is an integer number (34998750).

Almost surely, 2^6700966272 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 6700966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13439520000).

6700966272 is an abundant number, since it is smaller than the sum of its proper divisors (20178073728).

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

6700966272 is a wasteful number, since it uses less digits than its factorization.

6700966272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 6700966272 is about 81859.4299515945. The cubic root of 6700966272 is about 1885.2942544995.

The spelling of 6700966272 in words is "six billion, seven hundred million, nine hundred sixty-six thousand, two hundred seventy-two".