6982251000408 has 128 divisors (see below), whose sum is σ = 19874519985600. Its totient is φ = 2269927756800.

The previous prime is 6982251000401. The next prime is 6982251000437. The reversal of 6982251000408 is 8040001522896.

6982251000408 is a `hidden beast` number, since 6 + 9 + 8 + 225 + 10 + 0 + 0 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6982251000401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28047010 + ... + 28294862.

Almost surely, 2^{6982251000408} 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 6982251000408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9937259992800).

6982251000408 is an abundant number, since it is smaller than the sum of its proper divisors (12892268985192).

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

6982251000408 is a wasteful number, since it uses less digits than its factorization.

6982251000408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251090 (or 251080 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 6982251000408 in words is "six trillion, nine hundred eighty-two billion, two hundred fifty-one million, four hundred eight", and thus it is an aban number.