6872212876032 has 1512 divisors, whose sum is σ = 25888881505200. Its totient is φ = 1808180527104.

The previous prime is 6872212876021. The next prime is 6872212876037. The reversal of 6872212876032 is 2306782122786.

6872212876032 is a `hidden beast` number, since 6 + 8 + 7 + 2 + 2 + 1 + 28 + 7 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6872212876032.

It is not an unprimeable number, because it can be changed into a prime (6872212876037) 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 167 ways as a sum of consecutive naturals, for example, 6428636394 + ... + 6428637462.

Almost surely, 2^{6872212876032} 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 6872212876032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12944440752600).

6872212876032 is an abundant number, since it is smaller than the sum of its proper divisors (19016668629168).

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

6872212876032 is a wasteful number, since it uses less digits than its factorization.

6872212876032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 6872212876032 in words is "six trillion, eight hundred seventy-two billion, two hundred twelve million, eight hundred seventy-six thousand, thirty-two".