6701667840 has 800 divisors, whose sum is σ = 28994929920. Its totient is φ = 1451188224.

The previous prime is 6701667829. The next prime is 6701667853. The reversal of 6701667840 is 487661076.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 352719351 + ... + 352719369.

Almost surely, 2^6701667840 is an apocalyptic number.

6701667840 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 6701667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14497464960).

6701667840 is an abundant number, since it is smaller than the sum of its proper divisors (22293262080).

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

6701667840 is an frugal number, since it uses more digits than its factorization.

6701667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6701667840 is about 81863.7150390819. The cubic root of 6701667840 is about 1885.3600468002.

It can be divided in two parts, 6701 and 667840, that added together give a triangular number (674541 = T₁₁₆₁).

The spelling of 6701667840 in words is "six billion, seven hundred one million, six hundred sixty-seven thousand, eight hundred forty".