6415982805060 has 288 divisors, whose sum is σ = 20900389665792. Its totient is φ = 1650435471360.

The previous prime is 6415982805041. The next prime is 6415982805061. The reversal of 6415982805060 is 605082895146.

6415982805060 is a `hidden beast` number, since 6 + 4 + 1 + 59 + 8 + 2 + 80 + 506 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6415982804988 and 6415982805006.

It is not an unprimeable number, because it can be changed into a prime (6415982805061) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 47088552 + ... + 47224608.

Almost surely, 2^{6415982805060} is an apocalyptic number.

6415982805060 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 6415982805060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450194832896).

6415982805060 is an abundant number, since it is smaller than the sum of its proper divisors (14484406860732).

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

6415982805060 is a wasteful number, since it uses less digits than its factorization.

6415982805060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136425 (or 136411 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 6415982805060 in words is "six trillion, four hundred fifteen billion, nine hundred eighty-two million, eight hundred five thousand, sixty".