6751578240 has 768 divisors, whose sum is σ = 27427196160. Its totient is φ = 1513881600.

The previous prime is 6751578227. The next prime is 6751578259. The reversal of 6751578240 is 428751576.

6751578240 is a `hidden beast` number, since 6 + 7 + 51 + 578 + 24 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 59748424 + ... + 59748536.

It is an arithmetic number, because the mean of its divisors is an integer number (35712495).

Almost surely, 2^6751578240 is an apocalyptic number.

6751578240 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 6751578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713598080).

6751578240 is an abundant number, since it is smaller than the sum of its proper divisors (20675617920).

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

6751578240 is a wasteful number, since it uses less digits than its factorization.

6751578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 6751578240 is about 82167.9879271727. The cubic root of 6751578240 is about 1890.0288565343.

The spelling of 6751578240 in words is "six billion, seven hundred fifty-one million, five hundred seventy-eight thousand, two hundred forty".