6772147200 has 1584 divisors, whose sum is σ = 33261621120. Its totient is φ = 1274019840.

The previous prime is 6772147199. The next prime is 6772147201. The reversal of 6772147200 is 27412776.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6772147199) and next prime (6772147201).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6772147201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 356428791 + ... + 356428809.

Almost surely, 2^6772147200 is an apocalyptic number.

6772147200 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 6772147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16630810560).

6772147200 is an abundant number, since it is smaller than the sum of its proper divisors (26489473920).

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

6772147200 is a wasteful number, since it uses less digits than its factorization.

6772147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 6772147200 is about 82293.0568152624. The cubic root of 6772147200 is about 1891.9462608417.

Adding to 6772147200 its reverse (27412776), we get a palindrome (6799559976).

It can be divided in two parts, 67721 and 47200, that added together give a square (114921 = 339²).

The spelling of 6772147200 in words is "six billion, seven hundred seventy-two million, one hundred forty-seven thousand, two hundred".