6752249280 has 336 divisors, whose sum is σ = 26944320000. Its totient is φ = 1520031744.

The previous prime is 6752249243. The next prime is 6752249281. The reversal of 6752249280 is 829422576.

6752249280 is a `hidden beast` number, since 6 + 7 + 522 + 49 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6752249281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348221 + ... + 1353219.

Almost surely, 2^6752249280 is an apocalyptic number.

6752249280 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 6752249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13472160000).

6752249280 is an abundant number, since it is smaller than the sum of its proper divisors (20192070720).

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

6752249280 is a wasteful number, since it uses less digits than its factorization.

6752249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096 (or 5083 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6752249280 is about 82172.0711677636. The cubic root of 6752249280 is about 1890.0914711755.

The spelling of 6752249280 in words is "six billion, seven hundred fifty-two million, two hundred forty-nine thousand, two hundred eighty".