6772144960 has 336 divisors, whose sum is σ = 19842388560. Its totient is φ = 2191687680.

The previous prime is 6772144943. The next prime is 6772144961. The reversal of 6772144960 is 694412776.

It can be written as a sum of positive squares in 8 ways, for example, as 142277184 + 6629867776 = 11928^2 + 81424^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6772144960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6772144961) 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, 24100020 + ... + 24100300.

Almost surely, 2^6772144960 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 6772144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9921194280).

6772144960 is an abundant number, since it is smaller than the sum of its proper divisors (13070243600).

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

6772144960 is a wasteful number, since it uses less digits than its factorization.

6772144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 6772144960 is about 82293.0432053646. The cubic root of 6772144960 is about 1891.9460522441.

The spelling of 6772144960 in words is "six billion, seven hundred seventy-two million, one hundred forty-four thousand, nine hundred sixty".