6971918088960 has 1728 divisors, whose sum is σ = 28115151321600. Its totient is φ = 1633970257920.

The previous prime is 6971918088917. The next prime is 6971918088973. The reversal of 6971918088960 is 698808191796.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

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, 18395562051 + ... + 18395562429.

It is an arithmetic number, because the mean of its divisors is an integer number (16270342200).

Almost surely, 2^{6971918088960} is an apocalyptic number.

6971918088960 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 6971918088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14057575660800).

6971918088960 is an abundant number, since it is smaller than the sum of its proper divisors (21143233232640).

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

6971918088960 is a wasteful number, since it uses less digits than its factorization.

6971918088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 72.

The spelling of 6971918088960 in words is "six trillion, nine hundred seventy-one billion, nine hundred eighteen million, eighty-eight thousand, nine hundred sixty".