6986728602000 has 1920 divisors, whose sum is σ = 31642203340800. Its totient is φ = 1463785344000.

The previous prime is 6986728601989. The next prime is 6986728602017. The reversal of 6986728602000 is 2068276896.

6986728602000 is a `hidden beast` number, since 6 + 9 + 8 + 6 + 7 + 28 + 602 + 0 + 0 + 0 = 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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1558491759 + ... + 1558496241.

It is an arithmetic number, because the mean of its divisors is an integer number (16480314240).

Almost surely, 2^{6986728602000} is an apocalyptic number.

6986728602000 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 6986728602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821101670400).

6986728602000 is an abundant number, since it is smaller than the sum of its proper divisors (24655474738800).

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

6986728602000 is a wasteful number, since it uses less digits than its factorization.

6986728602000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 6986728602000 in words is "six trillion, nine hundred eighty-six billion, seven hundred twenty-eight million, six hundred two thousand".