6772746240 has 288 divisors, whose sum is σ = 25283217960. Its totient is φ = 1666842624.

The previous prime is 6772746223. The next prime is 6772746241. The reversal of 6772746240 is 426472776.

It can be written as a sum of positive squares in 4 ways, for example, as 5170185216 + 1602561024 = 71904^2 + 40032^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (6772746241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1195254 + ... + 1200906.

Almost surely, 2^6772746240 is an apocalyptic number.

6772746240 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 6772746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12641608980).

6772746240 is an abundant number, since it is smaller than the sum of its proper divisors (18510471720).

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

6772746240 is a wasteful number, since it uses less digits than its factorization.

6772746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5699 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 6772746240 is about 82296.6964100018. The cubic root of 6772746240 is about 1892.0020441375.

The spelling of 6772746240 in words is "six billion, seven hundred seventy-two million, seven hundred forty-six thousand, two hundred forty".