7728399993600 has 5184 divisors, whose sum is σ = 37198419148800. Its totient is φ = 1558683648000.

The previous prime is 7728399993583. The next prime is 7728399993607. The reversal of 7728399993600 is 63999938277.

7728399993600 is a `hidden beast` number, since 7 + 7 + 2 + 8 + 3 + 9 + 9 + 9 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×7728399993600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (7728399993607) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 130989830371 + ... + 130989830429.

Almost surely, 2^{7728399993600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7728399993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18599209574400).

7728399993600 is an abundant number, since it is smaller than the sum of its proper divisors (29470019155200).

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

7728399993600 is a wasteful number, since it uses less digits than its factorization.

7728399993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 277766496, while the sum is 72.

The spelling of 7728399993600 in words is "seven trillion, seven hundred twenty-eight billion, three hundred ninety-nine million, nine hundred ninety-three thousand, six hundred".