6986061770688 has 896 divisors, whose sum is σ = 27638101370880. Its totient is φ = 1671155712000.

The previous prime is 6986061770687. The next prime is 6986061770713. The reversal of 6986061770688 is 8860771606896.

6986061770688 is a `hidden beast` number, since 6 + 9 + 8 + 606 + 1 + 7 + 7 + 0 + 6 + 8 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6986061770687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 797400228 + ... + 797408988.

It is an arithmetic number, because the mean of its divisors is an integer number (30846095280).

Almost surely, 2^{6986061770688} 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 6986061770688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819050685440).

6986061770688 is an abundant number, since it is smaller than the sum of its proper divisors (20652039600192).

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

6986061770688 is a wasteful number, since it uses less digits than its factorization.

6986061770688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9274 (or 9258 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 6986061770688 in words is "six trillion, nine hundred eighty-six billion, sixty-one million, seven hundred seventy thousand, six hundred eighty-eight".