6918641920512 has 2400 divisors, whose sum is σ = 27025888982400. Its totient is φ = 1748735557632.

The previous prime is 6918641920471. The next prime is 6918641920529. The reversal of 6918641920512 is 2150291468196.

6918641920512 is a `hidden beast` number, since 6 + 9 + 1 + 8 + 6 + 419 + 205 + 12 = 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 239 ways as a sum of consecutive naturals, for example, 41428993453 + ... + 41428993619.

It is an arithmetic number, because the mean of its divisors is an integer number (11260787076).

Almost surely, 2^{6918641920512} 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 6918641920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512944491200).

6918641920512 is an abundant number, since it is smaller than the sum of its proper divisors (20107247061888).

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

6918641920512 is a wasteful number, since it uses less digits than its factorization.

6918641920512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 6918641920512 in words is "six trillion, nine hundred eighteen billion, six hundred forty-one million, nine hundred twenty thousand, five hundred twelve".