6687143963136 has 960 divisors, whose sum is σ = 24435348537600. Its totient is φ = 1713705320448.

The previous prime is 6687143963117. The next prime is 6687143963153. The reversal of 6687143963136 is 6313693417866.

It is a happy number.

6687143963136 is a `hidden beast` number, since 6 + 6 + 8 + 7 + 1 + 439 + 63 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2201889810 + ... + 2201892846.

It is an arithmetic number, because the mean of its divisors is an integer number (25453488060).

Almost surely, 2^{6687143963136} 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 6687143963136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12217674268800).

6687143963136 is an abundant number, since it is smaller than the sum of its proper divisors (17748204574464).

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

6687143963136 is a wasteful number, since it uses less digits than its factorization.

6687143963136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3210 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 6687143963136 in words is "six trillion, six hundred eighty-seven billion, one hundred forty-three million, nine hundred sixty-three thousand, one hundred thirty-six".