6873540815232 has 1152 divisors, whose sum is σ = 26064978750720. Its totient is φ = 1720922112000.

The previous prime is 6873540815221. The next prime is 6873540815233. The reversal of 6873540815232 is 2325180453786.

6873540815232 is a `hidden beast` number, since 6 + 8 + 7 + 35 + 4 + 0 + 81 + 523 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6873540815233) 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 143 ways as a sum of consecutive naturals, for example, 1205669982 + ... + 1205675682.

It is an arithmetic number, because the mean of its divisors is an integer number (22625849610).

Almost surely, 2^{6873540815232} is an apocalyptic number.

6873540815232 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 6873540815232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13032489375360).

6873540815232 is an abundant number, since it is smaller than the sum of its proper divisors (19191437935488).

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

6873540815232 is a wasteful number, since it uses less digits than its factorization.

6873540815232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 6873540815232 in words is "six trillion, eight hundred seventy-three billion, five hundred forty million, eight hundred fifteen thousand, two hundred thirty-two".