6772576320 has 448 divisors, whose sum is σ = 25202327040. Its totient is φ = 1708793856.

The previous prime is 6772576313. The next prime is 6772576337. The reversal of 6772576320 is 236752776.

6772576320 is a `hidden beast` number, since 6 + 7 + 7 + 2 + 5 + 7 + 632 + 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 63 ways as a sum of consecutive naturals, for example, 34378462 + ... + 34378658.

Almost surely, 2^6772576320 is an apocalyptic number.

6772576320 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 6772576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12601163520).

6772576320 is an abundant number, since it is smaller than the sum of its proper divisors (18429750720).

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

6772576320 is a wasteful number, since it uses less digits than its factorization.

6772576320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 6772576320 is about 82295.6640413090. The cubic root of 6772576320 is about 1891.9862213253.

The spelling of 6772576320 in words is "six billion, seven hundred seventy-two million, five hundred seventy-six thousand, three hundred twenty".