6772357728 has 192 divisors, whose sum is σ = 21825054720. Its totient is φ = 2032183296.

The previous prime is 6772357727. The next prime is 6772357759. The reversal of 6772357728 is 8277532776.

It is a happy number.

6772357728 is a `hidden beast` number, since 67 + 7 + 2 + 3 + 577 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6772357727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327801 + ... + 347847.

It is an arithmetic number, because the mean of its divisors is an integer number (113672160).

Almost surely, 2^6772357728 is an apocalyptic number.

6772357728 is a gapful number since it is divisible by the number (68) 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 6772357728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10912527360).

6772357728 is an abundant number, since it is smaller than the sum of its proper divisors (15052696992).

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

6772357728 is a wasteful number, since it uses less digits than its factorization.

6772357728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20106 (or 20092 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 54.

The square root of 6772357728 is about 82294.3359411813. The cubic root of 6772357728 is about 1891.9658658268.

The spelling of 6772357728 in words is "six billion, seven hundred seventy-two million, three hundred fifty-seven thousand, seven hundred twenty-eight".