6687035136 has 144 divisors (see below), whose sum is σ = 20938327200. Its totient is φ = 2097856512.

The previous prime is 6687035129. The next prime is 6687035143. The reversal of 6687035136 is 6315307866.

6687035136 is a `hidden beast` number, since 6 + 68 + 70 + 3 + 513 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6687035129) and next prime (6687035143).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 6687035091 and 6687035100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89050 + ... + 145958.

It is an arithmetic number, because the mean of its divisors is an integer number (145405050).

Almost surely, 2^6687035136 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 6687035136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10469163600).

6687035136 is an abundant number, since it is smaller than the sum of its proper divisors (14251292064).

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

6687035136 is a wasteful number, since it uses less digits than its factorization.

6687035136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56951 (or 56931 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6687035136 is about 81774.2938581557. The cubic root of 6687035136 is about 1883.9868553588.

The spelling of 6687035136 in words is "six billion, six hundred eighty-seven million, thirty-five thousand, one hundred thirty-six".