6477815215872 has 1296 divisors, whose sum is σ = 25627535885952. Its totient is φ = 1546879057920.

The previous prime is 6477815215871. The next prime is 6477815215967. The reversal of 6477815215872 is 2785125187746.

6477815215872 is a `hidden beast` number, since 6 + 47 + 7 + 8 + 1 + 5 + 2 + 1 + 587 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6477815215871) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4956246643 + ... + 4956247949.

Almost surely, 2^{6477815215872} 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 6477815215872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12813767942976).

6477815215872 is an abundant number, since it is smaller than the sum of its proper divisors (19149720670080).

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

6477815215872 is a wasteful number, since it uses less digits than its factorization.

6477815215872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1650 counting only the distinct ones).

The product of its digits is 52684800, while the sum is 63.

The spelling of 6477815215872 in words is "six trillion, four hundred seventy-seven billion, eight hundred fifteen million, two hundred fifteen thousand, eight hundred seventy-two".