6907981916160 has 864 divisors, whose sum is σ = 26886998567520. Its totient is φ = 1700322803712.

The previous prime is 6907981916149. The next prime is 6907981916179. The reversal of 6907981916160 is 616191897096.

6907981916160 is a `hidden beast` number, since 6 + 9 + 0 + 7 + 9 + 8 + 1 + 9 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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, 420517867 + ... + 420534293.

It is an arithmetic number, because the mean of its divisors is an integer number (31119211305).

Almost surely, 2^{6907981916160} is an apocalyptic number.

6907981916160 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 6907981916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13443499283760).

6907981916160 is an abundant number, since it is smaller than the sum of its proper divisors (19979016651360).

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

6907981916160 is a wasteful number, since it uses less digits than its factorization.

6907981916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16495 (or 16450 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 6907981916160 in words is "six trillion, nine hundred seven billion, nine hundred eighty-one million, nine hundred sixteen thousand, one hundred sixty".