6754965984 has 144 divisors (see below), whose sum is σ = 20776392000. Its totient is φ = 2069480448.

The previous prime is 6754965949. The next prime is 6754965989. The reversal of 6754965984 is 4895694576.

6754965984 is a `hidden beast` number, since 6 + 7 + 549 + 6 + 5 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6754965989) 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 23 ways as a sum of consecutive naturals, for example, 891042 + ... + 898590.

It is an arithmetic number, because the mean of its divisors is an integer number (144280500).

Almost surely, 2^6754965984 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 6754965984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10388196000).

6754965984 is an abundant number, since it is smaller than the sum of its proper divisors (14021426016).

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

6754965984 is a wasteful number, since it uses less digits than its factorization.

6754965984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817 (or 7806 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 6754965984 is about 82188.6000854133. The cubic root of 6754965984 is about 1890.3449240302.

The spelling of 6754965984 in words is "six billion, seven hundred fifty-four million, nine hundred sixty-five thousand, nine hundred eighty-four".