6752340672 has 224 divisors, whose sum is σ = 22345887744. Its totient is φ = 1748198400.

The previous prime is 6752340659. The next prime is 6752340691. The reversal of 6752340672 is 2760432576.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×6752340672³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6548797 + ... + 6549827.

Almost surely, 2^6752340672 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 6752340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172943872).

6752340672 is an abundant number, since it is smaller than the sum of its proper divisors (15593547072).

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

6752340672 is a wasteful number, since it uses less digits than its factorization.

6752340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 6752340672 is about 82172.6272672354. The cubic root of 6752340672 is about 1890.0999986283.

The spelling of 6752340672 in words is "six billion, seven hundred fifty-two million, three hundred forty thousand, six hundred seventy-two".