6687008399232 has 1152 divisors, whose sum is σ = 23719082774400. Its totient is φ = 1800906670080.

The previous prime is 6687008399221. The next prime is 6687008399243. The reversal of 6687008399232 is 2329938007866.

6687008399232 is a `hidden beast` number, since 6 + 6 + 8 + 7 + 0 + 0 + 8 + 399 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (6687008399221) and next prime (6687008399243).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6687008399232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9300428569 + ... + 9300429287.

It is an arithmetic number, because the mean of its divisors is an integer number (20589481575).

Almost surely, 2^{6687008399232} 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 6687008399232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11859541387200).

6687008399232 is an abundant number, since it is smaller than the sum of its proper divisors (17032074375168).

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

6687008399232 is a wasteful number, since it uses less digits than its factorization.

6687008399232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 6687008399232 in words is "six trillion, six hundred eighty-seven billion, eight million, three hundred ninety-nine thousand, two hundred thirty-two".