6772752960 has 224 divisors, whose sum is σ = 22668049152. Its totient is φ = 1709875200.

The previous prime is 6772752947. The next prime is 6772752967. The reversal of 6772752960 is 692572776.

It is not an unprimeable number, because it can be changed into a prime (6772752967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2228562 + ... + 2231598.

It is an arithmetic number, because the mean of its divisors is an integer number (101196648).

Almost surely, 2^6772752960 is an apocalyptic number.

6772752960 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 6772752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11334024576).

6772752960 is an abundant number, since it is smaller than the sum of its proper divisors (15895296192).

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

6772752960 is a wasteful number, since it uses less digits than its factorization.

6772752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The square root of 6772752960 is about 82296.7372378760. The cubic root of 6772752960 is about 1892.0026698930.

The spelling of 6772752960 in words is "six billion, seven hundred seventy-two million, seven hundred fifty-two thousand, nine hundred sixty".