6918873292800 has 1008 divisors, whose sum is σ = 29374431707712. Its totient is φ = 1581377126400.

The previous prime is 6918873292697. The next prime is 6918873292811. The reversal of 6918873292800 is 82923788196.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×6918873292800² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 348354870 + ... + 348374730.

Almost surely, 2^{6918873292800} is an apocalyptic number.

6918873292800 is a gapful number since it is divisible by the number (60) 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 6918873292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14687215853856).

6918873292800 is an abundant number, since it is smaller than the sum of its proper divisors (22455558414912).

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

6918873292800 is an equidigital number, since it uses as much as digits as its factorization.

6918873292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19919 (or 19878 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 6918873292800 in words is "six trillion, nine hundred eighteen billion, eight hundred seventy-three million, two hundred ninety-two thousand, eight hundred".