6772534800 has 480 divisors, whose sum is σ = 24560392320. Its totient is φ = 1585152000.

The previous prime is 6772534799. The next prime is 6772534841. The reversal of 6772534800 is 84352776.

It is a super-2 number, since 2×6772534800² = 91734455234422080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39147514 + ... + 39147686.

It is an arithmetic number, because the mean of its divisors is an integer number (51167484).

Almost surely, 2^6772534800 is an apocalyptic number.

6772534800 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 6772534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12280196160).

6772534800 is an abundant number, since it is smaller than the sum of its proper divisors (17787857520).

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

6772534800 is a wasteful number, since it uses less digits than its factorization.

6772534800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 6772534800 is about 82295.4117797584. The cubic root of 6772534800 is about 1891.9823549764.

The spelling of 6772534800 in words is "six billion, seven hundred seventy-two million, five hundred thirty-four thousand, eight hundred".