6792528960 has 504 divisors, whose sum is σ = 27464186880. Its totient is φ = 1536288768.

The previous prime is 6792528923. The next prime is 6792528961. The reversal of 6792528960 is 698252976.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×6792528960² = 92276899344877363200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6792528897 and 6792528906.

It is not an unprimeable number, because it can be changed into a prime (6792528961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17922051 + ... + 17922429.

Almost surely, 2^6792528960 is an apocalyptic number.

6792528960 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 6792528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13732093440).

6792528960 is an abundant number, since it is smaller than the sum of its proper divisors (20671657920).

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

6792528960 is a wasteful number, since it uses less digits than its factorization.

6792528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 6792528960 is about 82416.8002290795. The cubic root of 6792528960 is about 1893.8423888528.

The spelling of 6792528960 in words is "six billion, seven hundred ninety-two million, five hundred twenty-eight thousand, nine hundred sixty".