6687603187356 has 768 divisors, whose sum is σ = 21914179338240. Its totient is φ = 1536897162240.

The previous prime is 6687603187339. The next prime is 6687603187373. The reversal of 6687603187356 is 6537813067866.

It is an interprime number because it is at equal distance from previous prime (6687603187339) and next prime (6687603187373).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2470483755 + ... + 2470486461.

It is an arithmetic number, because the mean of its divisors is an integer number (28534087680).

Almost surely, 2^{6687603187356} 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 6687603187356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10957089669120).

6687603187356 is an abundant number, since it is smaller than the sum of its proper divisors (15226576150884).

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

6687603187356 is a wasteful number, since it uses less digits than its factorization.

6687603187356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 6687603187356 in words is "six trillion, six hundred eighty-seven billion, six hundred three million, one hundred eighty-seven thousand, three hundred fifty-six".