7728545647620 has 216 divisors, whose sum is σ = 27332859153600. Its totient is φ = 1762499862144.

The previous prime is 7728545647597. The next prime is 7728545647679. The reversal of 7728545647620 is 267465458277.

7728545647620 is a `hidden beast` number, since 7 + 7 + 2 + 8 + 5 + 4 + 564 + 7 + 62 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2873971 + ... + 4869989.

It is an arithmetic number, because the mean of its divisors is an integer number (126541014600).

Almost surely, 2^{7728545647620} is an apocalyptic number.

7728545647620 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 7728545647620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13666429576800).

7728545647620 is an abundant number, since it is smaller than the sum of its proper divisors (19604313505980).

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

7728545647620 is a wasteful number, since it uses less digits than its factorization.

7728545647620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996487 (or 1996475 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 63.

The spelling of 7728545647620 in words is "seven trillion, seven hundred twenty-eight billion, five hundred forty-five million, six hundred forty-seven thousand, six hundred twenty".