7728260047200 has 5760 divisors, whose sum is σ = 40331818598400. Its totient is φ = 1408264704000.

The previous prime is 7728260047141. The next prime is 7728260047229. The reversal of 7728260047200 is 27400628277.

7728260047200 is a `hidden beast` number, since 77 + 282 + 60 + 0 + 47 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 959 ways as a sum of consecutive naturals, for example, 249298711185 + ... + 249298711215.

It is an arithmetic number, because the mean of its divisors is an integer number (7002051840).

Almost surely, 2^{7728260047200} is an apocalyptic number.

7728260047200 is a gapful number since it is divisible by the number (70) 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 7728260047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20165909299200).

7728260047200 is an abundant number, since it is smaller than the sum of its proper divisors (32603558551200).

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

7728260047200 is a wasteful number, since it uses less digits than its factorization.

7728260047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 7728260047200 in words is "seven trillion, seven hundred twenty-eight billion, two hundred sixty million, forty-seven thousand, two hundred".