7728162444800 has 240 divisors, whose sum is σ = 21905777583360. Its totient is φ = 2646828687360.

The previous prime is 7728162444781. The next prime is 7728162444809. The reversal of 7728162444800 is 84442618277.

It is a happy number.

It is a super-2 number, since 2×7728162444800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7728162444809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84805661 + ... + 84896739.

It is an arithmetic number, because the mean of its divisors is an integer number (91274073264).

Almost surely, 2^{7728162444800} is an apocalyptic number.

7728162444800 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 7728162444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10952888791680).

7728162444800 is an abundant number, since it is smaller than the sum of its proper divisors (14177615138560).

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

7728162444800 is an equidigital number, since it uses as much as digits as its factorization.

7728162444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92061 (or 92040 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 53.

The spelling of 7728162444800 in words is "seven trillion, seven hundred twenty-eight billion, one hundred sixty-two million, four hundred forty-four thousand, eight hundred".