6102820039680 has 2112 divisors, whose sum is σ = 28420445813760. Its totient is φ = 1219428089856.

The previous prime is 6102820039643. The next prime is 6102820039681. The reversal of 6102820039680 is 869300282016.

6102820039680 is a `hidden beast` number, since 6 + 102 + 82 + 0 + 0 + 396 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6102820039681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2151151222 + ... + 2151154058.

It is an arithmetic number, because the mean of its divisors is an integer number (13456650480).

Almost surely, 2^{6102820039680} is an apocalyptic number.

6102820039680 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 6102820039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14210222906880).

6102820039680 is an abundant number, since it is smaller than the sum of its proper divisors (22317625774080).

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

6102820039680 is a wasteful number, since it uses less digits than its factorization.

6102820039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 6102820039680 in words is "six trillion, one hundred two billion, eight hundred twenty million, thirty-nine thousand, six hundred eighty".