6985059314688 has 704 divisors, whose sum is σ = 25980196480000. Its totient is φ = 1842180931584.

The previous prime is 6985059314669. The next prime is 6985059314689. The reversal of 6985059314688 is 8864139505896.

6985059314688 is a `hidden beast` number, since 6 + 9 + 8 + 505 + 9 + 31 + 4 + 6 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6985059314689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123254103 + ... + 123310761.

Almost surely, 2^{6985059314688} 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 6985059314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12990098240000).

6985059314688 is an abundant number, since it is smaller than the sum of its proper divisors (18995137165312).

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

6985059314688 is a wasteful number, since it uses less digits than its factorization.

6985059314688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56722 (or 56684 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 6985059314688 in words is "six trillion, nine hundred eighty-five billion, fifty-nine million, three hundred fourteen thousand, six hundred eighty-eight".