6752487672 has 384 divisors, whose sum is σ = 23042880000. Its totient is φ = 1794203136.

The previous prime is 6752487667. The next prime is 6752487727. The reversal of 6752487672 is 2767842576.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7902720) is a multiple of the sum of its prime factors (288).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 48578979 + ... + 48579117.

It is an arithmetic number, because the mean of its divisors is an integer number (60007500).

Almost surely, 2^6752487672 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 6752487672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11521440000).

6752487672 is an abundant number, since it is smaller than the sum of its proper divisors (16290392328).

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

6752487672 is a wasteful number, since it uses less digits than its factorization.

6752487672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 259 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 6752487672 is about 82173.5217208074. The cubic root of 6752487672 is about 1890.1137144985.

The spelling of 6752487672 in words is "six billion, seven hundred fifty-two million, four hundred eighty-seven thousand, six hundred seventy-two".