6816435005952 has 1920 divisors, whose sum is σ = 26232529010688. Its totient is φ = 1734259507200.

The previous prime is 6816435005909. The next prime is 6816435005977. The reversal of 6816435005952 is 2595005346186.

6816435005952 is a `hidden beast` number, since 6 + 8 + 1 + 6 + 43 + 5 + 0 + 0 + 595 + 2 = 666.

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

It is an unprimeable number.

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, 9376113813 + ... + 9376114539.

Almost surely, 2^{6816435005952} is an apocalyptic number.

6816435005952 is a gapful number since it is divisible by the number (62) 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 6816435005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13116264505344).

6816435005952 is an abundant number, since it is smaller than the sum of its proper divisors (19416094004736).

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

6816435005952 is a wasteful number, since it uses less digits than its factorization.

6816435005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 6816435005952 in words is "six trillion, eight hundred sixteen billion, four hundred thirty-five million, five thousand, nine hundred fifty-two".