6924378871872 has 1344 divisors, whose sum is σ = 26361054720000. Its totient is φ = 1786484367360.

The previous prime is 6924378871853. The next prime is 6924378871889. The reversal of 6924378871872 is 2781788734296.

It is a happy number.

6924378871872 is a `hidden beast` number, since 6 + 9 + 2 + 437 + 8 + 8 + 7 + 187 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×6924378871872² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6924378871872.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11676861208 + ... + 11676861800.

It is an arithmetic number, because the mean of its divisors is an integer number (19613880000).

Almost surely, 2^{6924378871872} 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 6924378871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13180527360000).

6924378871872 is an abundant number, since it is smaller than the sum of its proper divisors (19436675848128).

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

6924378871872 is a wasteful number, since it uses less digits than its factorization.

6924378871872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 815 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 72.

The spelling of 6924378871872 in words is "six trillion, nine hundred twenty-four billion, three hundred seventy-eight million, eight hundred seventy-one thousand, eight hundred seventy-two".