6701700672 has 448 divisors, whose sum is σ = 21887078400. Its totient is φ = 2003097600.

The previous prime is 6701700637. The next prime is 6701700689. The reversal of 6701700672 is 2760071076.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 66353422 + ... + 66353522.

Almost surely, 2^6701700672 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 6701700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10943539200).

6701700672 is an abundant number, since it is smaller than the sum of its proper divisors (15185377728).

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

6701700672 is a wasteful number, since it uses less digits than its factorization.

6701700672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 6701700672 is about 81863.9155672388. The cubic root of 6701700672 is about 1885.3631256377.

The spelling of 6701700672 in words is "six billion, seven hundred one million, seven hundred thousand, six hundred seventy-two".